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Simplifying 5(x + 4) = 3(2 + -1x) + -13 Reorder the terms: 5(4 + x) = 3(2 + -1x) + -13 (4 * 5 + x * 5) = 3(2 + -1x) + -13 (20 + 5x) = 3(2 + -1x) + -13 20 + 5x = (2 * 3 + -1x * 3) + -13 20 + 5x = (6 + -3x) + -13 Reorder the terms: 20 + 5x = 6 + -13 + -3x Combine like terms: 6 + -13 = -7 20 + 5x = -7 + -3x Solving 20 + 5x = -7 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 20 + 5x + 3x = -7 + -3x + 3x Combine like terms: 5x + 3x = 8x 20 + 8x = -7 + -3x + 3x Combine like terms: -3x + 3x = 0 20 + 8x = -7 + 0 20 + 8x = -7 Add '-20' to each side of the equation. 20 + -20 + 8x = -7 + -20 Combine like terms: 20 + -20 = 0 0 + 8x = -7 + -20 8x = -7 + -20 Combine like terms: -7 + -20 = -27 8x = -27 Divide each side by '8'. x = -3.375 Simplifying x = -3.375
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