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Simplifying -3(x + 5) + 8 = 2(x + 4) + -6 Reorder the terms: -3(5 + x) + 8 = 2(x + 4) + -6 (5 * -3 + x * -3) + 8 = 2(x + 4) + -6 (-15 + -3x) + 8 = 2(x + 4) + -6 Reorder the terms: -15 + 8 + -3x = 2(x + 4) + -6 Combine like terms: -15 + 8 = -7 -7 + -3x = 2(x + 4) + -6 Reorder the terms: -7 + -3x = 2(4 + x) + -6 -7 + -3x = (4 * 2 + x * 2) + -6 -7 + -3x = (8 + 2x) + -6 Reorder the terms: -7 + -3x = 8 + -6 + 2x Combine like terms: 8 + -6 = 2 -7 + -3x = 2 + 2x Solving -7 + -3x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + -3x + -2x = 2 + 2x + -2x Combine like terms: -3x + -2x = -5x -7 + -5x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + -5x = 2 + 0 -7 + -5x = 2 Add '7' to each side of the equation. -7 + 7 + -5x = 2 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = 2 + 7 -5x = 2 + 7 Combine like terms: 2 + 7 = 9 -5x = 9 Divide each side by '-5'. x = -1.8 Simplifying x = -1.8
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