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Simplifying 8(2x + -12) = 6(x + -3) Reorder the terms: 8(-12 + 2x) = 6(x + -3) (-12 * 8 + 2x * 8) = 6(x + -3) (-96 + 16x) = 6(x + -3) Reorder the terms: -96 + 16x = 6(-3 + x) -96 + 16x = (-3 * 6 + x * 6) -96 + 16x = (-18 + 6x) Solving -96 + 16x = -18 + 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. -96 + 16x + -6x = -18 + 6x + -6x Combine like terms: 16x + -6x = 10x -96 + 10x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 -96 + 10x = -18 + 0 -96 + 10x = -18 Add '96' to each side of the equation. -96 + 96 + 10x = -18 + 96 Combine like terms: -96 + 96 = 0 0 + 10x = -18 + 96 10x = -18 + 96 Combine like terms: -18 + 96 = 78 10x = 78 Divide each side by '10'. x = 7.8 Simplifying x = 7.8
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