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Simplifying -3(x + 6) + 4 = 5(x + 2) + 7 Reorder the terms: -3(6 + x) + 4 = 5(x + 2) + 7 (6 * -3 + x * -3) + 4 = 5(x + 2) + 7 (-18 + -3x) + 4 = 5(x + 2) + 7 Reorder the terms: -18 + 4 + -3x = 5(x + 2) + 7 Combine like terms: -18 + 4 = -14 -14 + -3x = 5(x + 2) + 7 Reorder the terms: -14 + -3x = 5(2 + x) + 7 -14 + -3x = (2 * 5 + x * 5) + 7 -14 + -3x = (10 + 5x) + 7 Reorder the terms: -14 + -3x = 10 + 7 + 5x Combine like terms: 10 + 7 = 17 -14 + -3x = 17 + 5x Solving -14 + -3x = 17 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -14 + -3x + -5x = 17 + 5x + -5x Combine like terms: -3x + -5x = -8x -14 + -8x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + -8x = 17 + 0 -14 + -8x = 17 Add '14' to each side of the equation. -14 + 14 + -8x = 17 + 14 Combine like terms: -14 + 14 = 0 0 + -8x = 17 + 14 -8x = 17 + 14 Combine like terms: 17 + 14 = 31 -8x = 31 Divide each side by '-8'. x = -3.875 Simplifying x = -3.875
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