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Simplifying -3(x + 6) + 4 = 7(x + 5) + 2 Reorder the terms: -3(6 + x) + 4 = 7(x + 5) + 2 (6 * -3 + x * -3) + 4 = 7(x + 5) + 2 (-18 + -3x) + 4 = 7(x + 5) + 2 Reorder the terms: -18 + 4 + -3x = 7(x + 5) + 2 Combine like terms: -18 + 4 = -14 -14 + -3x = 7(x + 5) + 2 Reorder the terms: -14 + -3x = 7(5 + x) + 2 -14 + -3x = (5 * 7 + x * 7) + 2 -14 + -3x = (35 + 7x) + 2 Reorder the terms: -14 + -3x = 35 + 2 + 7x Combine like terms: 35 + 2 = 37 -14 + -3x = 37 + 7x Solving -14 + -3x = 37 + 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. -14 + -3x + -7x = 37 + 7x + -7x Combine like terms: -3x + -7x = -10x -14 + -10x = 37 + 7x + -7x Combine like terms: 7x + -7x = 0 -14 + -10x = 37 + 0 -14 + -10x = 37 Add '14' to each side of the equation. -14 + 14 + -10x = 37 + 14 Combine like terms: -14 + 14 = 0 0 + -10x = 37 + 14 -10x = 37 + 14 Combine like terms: 37 + 14 = 51 -10x = 51 Divide each side by '-10'. x = -5.1 Simplifying x = -5.1
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