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Simplifying 12(x + -8) = 4(6x + 7) Reorder the terms: 12(-8 + x) = 4(6x + 7) (-8 * 12 + x * 12) = 4(6x + 7) (-96 + 12x) = 4(6x + 7) Reorder the terms: -96 + 12x = 4(7 + 6x) -96 + 12x = (7 * 4 + 6x * 4) -96 + 12x = (28 + 24x) Solving -96 + 12x = 28 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -96 + 12x + -24x = 28 + 24x + -24x Combine like terms: 12x + -24x = -12x -96 + -12x = 28 + 24x + -24x Combine like terms: 24x + -24x = 0 -96 + -12x = 28 + 0 -96 + -12x = 28 Add '96' to each side of the equation. -96 + 96 + -12x = 28 + 96 Combine like terms: -96 + 96 = 0 0 + -12x = 28 + 96 -12x = 28 + 96 Combine like terms: 28 + 96 = 124 -12x = 124 Divide each side by '-12'. x = -10.33333333 Simplifying x = -10.33333333
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