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Simplifying 8(x + 3) + 2(x + -4) = 6(x + -3) + 3(x + 2) Reorder the terms: 8(3 + x) + 2(x + -4) = 6(x + -3) + 3(x + 2) (3 * 8 + x * 8) + 2(x + -4) = 6(x + -3) + 3(x + 2) (24 + 8x) + 2(x + -4) = 6(x + -3) + 3(x + 2) Reorder the terms: 24 + 8x + 2(-4 + x) = 6(x + -3) + 3(x + 2) 24 + 8x + (-4 * 2 + x * 2) = 6(x + -3) + 3(x + 2) 24 + 8x + (-8 + 2x) = 6(x + -3) + 3(x + 2) Reorder the terms: 24 + -8 + 8x + 2x = 6(x + -3) + 3(x + 2) Combine like terms: 24 + -8 = 16 16 + 8x + 2x = 6(x + -3) + 3(x + 2) Combine like terms: 8x + 2x = 10x 16 + 10x = 6(x + -3) + 3(x + 2) Reorder the terms: 16 + 10x = 6(-3 + x) + 3(x + 2) 16 + 10x = (-3 * 6 + x * 6) + 3(x + 2) 16 + 10x = (-18 + 6x) + 3(x + 2) Reorder the terms: 16 + 10x = -18 + 6x + 3(2 + x) 16 + 10x = -18 + 6x + (2 * 3 + x * 3) 16 + 10x = -18 + 6x + (6 + 3x) Reorder the terms: 16 + 10x = -18 + 6 + 6x + 3x Combine like terms: -18 + 6 = -12 16 + 10x = -12 + 6x + 3x Combine like terms: 6x + 3x = 9x 16 + 10x = -12 + 9x Solving 16 + 10x = -12 + 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. 16 + 10x + -9x = -12 + 9x + -9x Combine like terms: 10x + -9x = 1x 16 + 1x = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 16 + 1x = -12 + 0 16 + 1x = -12 Add '-16' to each side of the equation. 16 + -16 + 1x = -12 + -16 Combine like terms: 16 + -16 = 0 0 + 1x = -12 + -16 1x = -12 + -16 Combine like terms: -12 + -16 = -28 1x = -28 Divide each side by '1'. x = -28 Simplifying x = -28
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