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Simplifying -3(x + 6) + 6 = 7(x + 2) + 1 Reorder the terms: -3(6 + x) + 6 = 7(x + 2) + 1 (6 * -3 + x * -3) + 6 = 7(x + 2) + 1 (-18 + -3x) + 6 = 7(x + 2) + 1 Reorder the terms: -18 + 6 + -3x = 7(x + 2) + 1 Combine like terms: -18 + 6 = -12 -12 + -3x = 7(x + 2) + 1 Reorder the terms: -12 + -3x = 7(2 + x) + 1 -12 + -3x = (2 * 7 + x * 7) + 1 -12 + -3x = (14 + 7x) + 1 Reorder the terms: -12 + -3x = 14 + 1 + 7x Combine like terms: 14 + 1 = 15 -12 + -3x = 15 + 7x Solving -12 + -3x = 15 + 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. -12 + -3x + -7x = 15 + 7x + -7x Combine like terms: -3x + -7x = -10x -12 + -10x = 15 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + -10x = 15 + 0 -12 + -10x = 15 Add '12' to each side of the equation. -12 + 12 + -10x = 15 + 12 Combine like terms: -12 + 12 = 0 0 + -10x = 15 + 12 -10x = 15 + 12 Combine like terms: 15 + 12 = 27 -10x = 27 Divide each side by '-10'. x = -2.7 Simplifying x = -2.7
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