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Simplifying 2(x + -6) + 6 = 3(x + -1) + -10 Reorder the terms: 2(-6 + x) + 6 = 3(x + -1) + -10 (-6 * 2 + x * 2) + 6 = 3(x + -1) + -10 (-12 + 2x) + 6 = 3(x + -1) + -10 Reorder the terms: -12 + 6 + 2x = 3(x + -1) + -10 Combine like terms: -12 + 6 = -6 -6 + 2x = 3(x + -1) + -10 Reorder the terms: -6 + 2x = 3(-1 + x) + -10 -6 + 2x = (-1 * 3 + x * 3) + -10 -6 + 2x = (-3 + 3x) + -10 Reorder the terms: -6 + 2x = -3 + -10 + 3x Combine like terms: -3 + -10 = -13 -6 + 2x = -13 + 3x Solving -6 + 2x = -13 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + 2x + -3x = -13 + 3x + -3x Combine like terms: 2x + -3x = -1x -6 + -1x = -13 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -1x = -13 + 0 -6 + -1x = -13 Add '6' to each side of the equation. -6 + 6 + -1x = -13 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -13 + 6 -1x = -13 + 6 Combine like terms: -13 + 6 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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