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Simplifying 12(x + -6) = 10x + -16 Reorder the terms: 12(-6 + x) = 10x + -16 (-6 * 12 + x * 12) = 10x + -16 (-72 + 12x) = 10x + -16 Reorder the terms: -72 + 12x = -16 + 10x Solving -72 + 12x = -16 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -72 + 12x + -10x = -16 + 10x + -10x Combine like terms: 12x + -10x = 2x -72 + 2x = -16 + 10x + -10x Combine like terms: 10x + -10x = 0 -72 + 2x = -16 + 0 -72 + 2x = -16 Add '72' to each side of the equation. -72 + 72 + 2x = -16 + 72 Combine like terms: -72 + 72 = 0 0 + 2x = -16 + 72 2x = -16 + 72 Combine like terms: -16 + 72 = 56 2x = 56 Divide each side by '2'. x = 28 Simplifying x = 28
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