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Simplifying 13 = 5(-4x + -3) + -4(x + -1) Reorder the terms: 13 = 5(-3 + -4x) + -4(x + -1) 13 = (-3 * 5 + -4x * 5) + -4(x + -1) 13 = (-15 + -20x) + -4(x + -1) Reorder the terms: 13 = -15 + -20x + -4(-1 + x) 13 = -15 + -20x + (-1 * -4 + x * -4) 13 = -15 + -20x + (4 + -4x) Reorder the terms: 13 = -15 + 4 + -20x + -4x Combine like terms: -15 + 4 = -11 13 = -11 + -20x + -4x Combine like terms: -20x + -4x = -24x 13 = -11 + -24x Solving 13 = -11 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 13 + 24x = -11 + -24x + 24x Combine like terms: -24x + 24x = 0 13 + 24x = -11 + 0 13 + 24x = -11 Add '-13' to each side of the equation. 13 + -13 + 24x = -11 + -13 Combine like terms: 13 + -13 = 0 0 + 24x = -11 + -13 24x = -11 + -13 Combine like terms: -11 + -13 = -24 24x = -24 Divide each side by '24'. x = -1 Simplifying x = -1
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