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Simplifying -3(x + 5) + 5 = 5(x + 5) + 6 Reorder the terms: -3(5 + x) + 5 = 5(x + 5) + 6 (5 * -3 + x * -3) + 5 = 5(x + 5) + 6 (-15 + -3x) + 5 = 5(x + 5) + 6 Reorder the terms: -15 + 5 + -3x = 5(x + 5) + 6 Combine like terms: -15 + 5 = -10 -10 + -3x = 5(x + 5) + 6 Reorder the terms: -10 + -3x = 5(5 + x) + 6 -10 + -3x = (5 * 5 + x * 5) + 6 -10 + -3x = (25 + 5x) + 6 Reorder the terms: -10 + -3x = 25 + 6 + 5x Combine like terms: 25 + 6 = 31 -10 + -3x = 31 + 5x Solving -10 + -3x = 31 + 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. -10 + -3x + -5x = 31 + 5x + -5x Combine like terms: -3x + -5x = -8x -10 + -8x = 31 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + -8x = 31 + 0 -10 + -8x = 31 Add '10' to each side of the equation. -10 + 10 + -8x = 31 + 10 Combine like terms: -10 + 10 = 0 0 + -8x = 31 + 10 -8x = 31 + 10 Combine like terms: 31 + 10 = 41 -8x = 41 Divide each side by '-8'. x = -5.125 Simplifying x = -5.125
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