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Simplifying 3(2x + -6) + 2(x + -3) = 6(x + -12) + x Reorder the terms: 3(-6 + 2x) + 2(x + -3) = 6(x + -12) + x (-6 * 3 + 2x * 3) + 2(x + -3) = 6(x + -12) + x (-18 + 6x) + 2(x + -3) = 6(x + -12) + x Reorder the terms: -18 + 6x + 2(-3 + x) = 6(x + -12) + x -18 + 6x + (-3 * 2 + x * 2) = 6(x + -12) + x -18 + 6x + (-6 + 2x) = 6(x + -12) + x Reorder the terms: -18 + -6 + 6x + 2x = 6(x + -12) + x Combine like terms: -18 + -6 = -24 -24 + 6x + 2x = 6(x + -12) + x Combine like terms: 6x + 2x = 8x -24 + 8x = 6(x + -12) + x Reorder the terms: -24 + 8x = 6(-12 + x) + x -24 + 8x = (-12 * 6 + x * 6) + x -24 + 8x = (-72 + 6x) + x Combine like terms: 6x + x = 7x -24 + 8x = -72 + 7x Solving -24 + 8x = -72 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -24 + 8x + -7x = -72 + 7x + -7x Combine like terms: 8x + -7x = 1x -24 + 1x = -72 + 7x + -7x Combine like terms: 7x + -7x = 0 -24 + 1x = -72 + 0 -24 + 1x = -72 Add '24' to each side of the equation. -24 + 24 + 1x = -72 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = -72 + 24 1x = -72 + 24 Combine like terms: -72 + 24 = -48 1x = -48 Divide each side by '1'. x = -48 Simplifying x = -48
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