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Simplifying 6(x + -2) = 36 + -10x Reorder the terms: 6(-2 + x) = 36 + -10x (-2 * 6 + x * 6) = 36 + -10x (-12 + 6x) = 36 + -10x Solving -12 + 6x = 36 + -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. -12 + 6x + 10x = 36 + -10x + 10x Combine like terms: 6x + 10x = 16x -12 + 16x = 36 + -10x + 10x Combine like terms: -10x + 10x = 0 -12 + 16x = 36 + 0 -12 + 16x = 36 Add '12' to each side of the equation. -12 + 12 + 16x = 36 + 12 Combine like terms: -12 + 12 = 0 0 + 16x = 36 + 12 16x = 36 + 12 Combine like terms: 36 + 12 = 48 16x = 48 Divide each side by '16'. x = 3 Simplifying x = 3
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