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Simplifying 4 + -2(x + -3) = 13 + -5(x + 4) Reorder the terms: 4 + -2(-3 + x) = 13 + -5(x + 4) 4 + (-3 * -2 + x * -2) = 13 + -5(x + 4) 4 + (6 + -2x) = 13 + -5(x + 4) Combine like terms: 4 + 6 = 10 10 + -2x = 13 + -5(x + 4) Reorder the terms: 10 + -2x = 13 + -5(4 + x) 10 + -2x = 13 + (4 * -5 + x * -5) 10 + -2x = 13 + (-20 + -5x) Combine like terms: 13 + -20 = -7 10 + -2x = -7 + -5x Solving 10 + -2x = -7 + -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 + -2x + 5x = -7 + -5x + 5x Combine like terms: -2x + 5x = 3x 10 + 3x = -7 + -5x + 5x Combine like terms: -5x + 5x = 0 10 + 3x = -7 + 0 10 + 3x = -7 Add '-10' to each side of the equation. 10 + -10 + 3x = -7 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = -7 + -10 3x = -7 + -10 Combine like terms: -7 + -10 = -17 3x = -17 Divide each side by '3'. x = -5.666666667 Simplifying x = -5.666666667
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