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Simplifying 3(2x + -6) + x = 6(x + -1) + -3 Reorder the terms: 3(-6 + 2x) + x = 6(x + -1) + -3 (-6 * 3 + 2x * 3) + x = 6(x + -1) + -3 (-18 + 6x) + x = 6(x + -1) + -3 Combine like terms: 6x + x = 7x -18 + 7x = 6(x + -1) + -3 Reorder the terms: -18 + 7x = 6(-1 + x) + -3 -18 + 7x = (-1 * 6 + x * 6) + -3 -18 + 7x = (-6 + 6x) + -3 Reorder the terms: -18 + 7x = -6 + -3 + 6x Combine like terms: -6 + -3 = -9 -18 + 7x = -9 + 6x Solving -18 + 7x = -9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -18 + 7x + -6x = -9 + 6x + -6x Combine like terms: 7x + -6x = 1x -18 + 1x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 -18 + 1x = -9 + 0 -18 + 1x = -9 Add '18' to each side of the equation. -18 + 18 + 1x = -9 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = -9 + 18 1x = -9 + 18 Combine like terms: -9 + 18 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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