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Simplifying 6(x + -2) + 6 = 3(x + 6) + -3 Reorder the terms: 6(-2 + x) + 6 = 3(x + 6) + -3 (-2 * 6 + x * 6) + 6 = 3(x + 6) + -3 (-12 + 6x) + 6 = 3(x + 6) + -3 Reorder the terms: -12 + 6 + 6x = 3(x + 6) + -3 Combine like terms: -12 + 6 = -6 -6 + 6x = 3(x + 6) + -3 Reorder the terms: -6 + 6x = 3(6 + x) + -3 -6 + 6x = (6 * 3 + x * 3) + -3 -6 + 6x = (18 + 3x) + -3 Reorder the terms: -6 + 6x = 18 + -3 + 3x Combine like terms: 18 + -3 = 15 -6 + 6x = 15 + 3x Solving -6 + 6x = 15 + 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 + 6x + -3x = 15 + 3x + -3x Combine like terms: 6x + -3x = 3x -6 + 3x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 3x = 15 + 0 -6 + 3x = 15 Add '6' to each side of the equation. -6 + 6 + 3x = 15 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 15 + 6 3x = 15 + 6 Combine like terms: 15 + 6 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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