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Simplifying 8(x + -3) + 2(4x + -6) = 9x + -15 Reorder the terms: 8(-3 + x) + 2(4x + -6) = 9x + -15 (-3 * 8 + x * 8) + 2(4x + -6) = 9x + -15 (-24 + 8x) + 2(4x + -6) = 9x + -15 Reorder the terms: -24 + 8x + 2(-6 + 4x) = 9x + -15 -24 + 8x + (-6 * 2 + 4x * 2) = 9x + -15 -24 + 8x + (-12 + 8x) = 9x + -15 Reorder the terms: -24 + -12 + 8x + 8x = 9x + -15 Combine like terms: -24 + -12 = -36 -36 + 8x + 8x = 9x + -15 Combine like terms: 8x + 8x = 16x -36 + 16x = 9x + -15 Reorder the terms: -36 + 16x = -15 + 9x Solving -36 + 16x = -15 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -36 + 16x + -9x = -15 + 9x + -9x Combine like terms: 16x + -9x = 7x -36 + 7x = -15 + 9x + -9x Combine like terms: 9x + -9x = 0 -36 + 7x = -15 + 0 -36 + 7x = -15 Add '36' to each side of the equation. -36 + 36 + 7x = -15 + 36 Combine like terms: -36 + 36 = 0 0 + 7x = -15 + 36 7x = -15 + 36 Combine like terms: -15 + 36 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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