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Simplifying 3(2x + -6) + 12 = 5(x + -3) + 4 Reorder the terms: 3(-6 + 2x) + 12 = 5(x + -3) + 4 (-6 * 3 + 2x * 3) + 12 = 5(x + -3) + 4 (-18 + 6x) + 12 = 5(x + -3) + 4 Reorder the terms: -18 + 12 + 6x = 5(x + -3) + 4 Combine like terms: -18 + 12 = -6 -6 + 6x = 5(x + -3) + 4 Reorder the terms: -6 + 6x = 5(-3 + x) + 4 -6 + 6x = (-3 * 5 + x * 5) + 4 -6 + 6x = (-15 + 5x) + 4 Reorder the terms: -6 + 6x = -15 + 4 + 5x Combine like terms: -15 + 4 = -11 -6 + 6x = -11 + 5x Solving -6 + 6x = -11 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 6x + -5x = -11 + 5x + -5x Combine like terms: 6x + -5x = 1x -6 + 1x = -11 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 1x = -11 + 0 -6 + 1x = -11 Add '6' to each side of the equation. -6 + 6 + 1x = -11 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = -11 + 6 1x = -11 + 6 Combine like terms: -11 + 6 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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