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Simplifying -5(x + 4) + -3(x + -1) = 7x + -31 Reorder the terms: -5(4 + x) + -3(x + -1) = 7x + -31 (4 * -5 + x * -5) + -3(x + -1) = 7x + -31 (-20 + -5x) + -3(x + -1) = 7x + -31 Reorder the terms: -20 + -5x + -3(-1 + x) = 7x + -31 -20 + -5x + (-1 * -3 + x * -3) = 7x + -31 -20 + -5x + (3 + -3x) = 7x + -31 Reorder the terms: -20 + 3 + -5x + -3x = 7x + -31 Combine like terms: -20 + 3 = -17 -17 + -5x + -3x = 7x + -31 Combine like terms: -5x + -3x = -8x -17 + -8x = 7x + -31 Reorder the terms: -17 + -8x = -31 + 7x Solving -17 + -8x = -31 + 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. -17 + -8x + -7x = -31 + 7x + -7x Combine like terms: -8x + -7x = -15x -17 + -15x = -31 + 7x + -7x Combine like terms: 7x + -7x = 0 -17 + -15x = -31 + 0 -17 + -15x = -31 Add '17' to each side of the equation. -17 + 17 + -15x = -31 + 17 Combine like terms: -17 + 17 = 0 0 + -15x = -31 + 17 -15x = -31 + 17 Combine like terms: -31 + 17 = -14 -15x = -14 Divide each side by '-15'. x = 0.9333333333 Simplifying x = 0.9333333333
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