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Simplifying 3 + -5(x + 7) + 8 = 4x + -12x + 2(x + -3) Reorder the terms: 3 + -5(7 + x) + 8 = 4x + -12x + 2(x + -3) 3 + (7 * -5 + x * -5) + 8 = 4x + -12x + 2(x + -3) 3 + (-35 + -5x) + 8 = 4x + -12x + 2(x + -3) Reorder the terms: 3 + -35 + 8 + -5x = 4x + -12x + 2(x + -3) Combine like terms: 3 + -35 = -32 -32 + 8 + -5x = 4x + -12x + 2(x + -3) Combine like terms: -32 + 8 = -24 -24 + -5x = 4x + -12x + 2(x + -3) Reorder the terms: -24 + -5x = 4x + -12x + 2(-3 + x) -24 + -5x = 4x + -12x + (-3 * 2 + x * 2) -24 + -5x = 4x + -12x + (-6 + 2x) Reorder the terms: -24 + -5x = -6 + 4x + -12x + 2x Combine like terms: 4x + -12x = -8x -24 + -5x = -6 + -8x + 2x Combine like terms: -8x + 2x = -6x -24 + -5x = -6 + -6x Solving -24 + -5x = -6 + -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 + -5x + 6x = -6 + -6x + 6x Combine like terms: -5x + 6x = 1x -24 + 1x = -6 + -6x + 6x Combine like terms: -6x + 6x = 0 -24 + 1x = -6 + 0 -24 + 1x = -6 Add '24' to each side of the equation. -24 + 24 + 1x = -6 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = -6 + 24 1x = -6 + 24 Combine like terms: -6 + 24 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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