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Simplifying 15 + 5(x + -3) + 8(x + -3) = -75 + -2(x + 8) + -4(x + 8) Reorder the terms: 15 + 5(-3 + x) + 8(x + -3) = -75 + -2(x + 8) + -4(x + 8) 15 + (-3 * 5 + x * 5) + 8(x + -3) = -75 + -2(x + 8) + -4(x + 8) 15 + (-15 + 5x) + 8(x + -3) = -75 + -2(x + 8) + -4(x + 8) Reorder the terms: 15 + -15 + 5x + 8(-3 + x) = -75 + -2(x + 8) + -4(x + 8) 15 + -15 + 5x + (-3 * 8 + x * 8) = -75 + -2(x + 8) + -4(x + 8) 15 + -15 + 5x + (-24 + 8x) = -75 + -2(x + 8) + -4(x + 8) Reorder the terms: 15 + -15 + -24 + 5x + 8x = -75 + -2(x + 8) + -4(x + 8) Combine like terms: 15 + -15 = 0 0 + -24 + 5x + 8x = -75 + -2(x + 8) + -4(x + 8) -24 + 5x + 8x = -75 + -2(x + 8) + -4(x + 8) Combine like terms: 5x + 8x = 13x -24 + 13x = -75 + -2(x + 8) + -4(x + 8) Reorder the terms: -24 + 13x = -75 + -2(8 + x) + -4(x + 8) -24 + 13x = -75 + (8 * -2 + x * -2) + -4(x + 8) -24 + 13x = -75 + (-16 + -2x) + -4(x + 8) Reorder the terms: -24 + 13x = -75 + -16 + -2x + -4(8 + x) -24 + 13x = -75 + -16 + -2x + (8 * -4 + x * -4) -24 + 13x = -75 + -16 + -2x + (-32 + -4x) Reorder the terms: -24 + 13x = -75 + -16 + -32 + -2x + -4x Combine like terms: -75 + -16 = -91 -24 + 13x = -91 + -32 + -2x + -4x Combine like terms: -91 + -32 = -123 -24 + 13x = -123 + -2x + -4x Combine like terms: -2x + -4x = -6x -24 + 13x = -123 + -6x Solving -24 + 13x = -123 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -24 + 13x + 6x = -123 + -6x + 6x Combine like terms: 13x + 6x = 19x -24 + 19x = -123 + -6x + 6x Combine like terms: -6x + 6x = 0 -24 + 19x = -123 + 0 -24 + 19x = -123 Add '24' to each side of the equation. -24 + 24 + 19x = -123 + 24 Combine like terms: -24 + 24 = 0 0 + 19x = -123 + 24 19x = -123 + 24 Combine like terms: -123 + 24 = -99 19x = -99 Divide each side by '19'. x = -5.210526316 Simplifying x = -5.210526316
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