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Simplifying -10x + -4(12 + -7x) = 8(9 + 6x) -10x + (12 * -4 + -7x * -4) = 8(9 + 6x) -10x + (-48 + 28x) = 8(9 + 6x) Reorder the terms: -48 + -10x + 28x = 8(9 + 6x) Combine like terms: -10x + 28x = 18x -48 + 18x = 8(9 + 6x) -48 + 18x = (9 * 8 + 6x * 8) -48 + 18x = (72 + 48x) Solving -48 + 18x = 72 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. -48 + 18x + -48x = 72 + 48x + -48x Combine like terms: 18x + -48x = -30x -48 + -30x = 72 + 48x + -48x Combine like terms: 48x + -48x = 0 -48 + -30x = 72 + 0 -48 + -30x = 72 Add '48' to each side of the equation. -48 + 48 + -30x = 72 + 48 Combine like terms: -48 + 48 = 0 0 + -30x = 72 + 48 -30x = 72 + 48 Combine like terms: 72 + 48 = 120 -30x = 120 Divide each side by '-30'. x = -4 Simplifying x = -4
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