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Simplifying 13 + -4(5x + 1) = 3(7 + -5x + -15) Reorder the terms: 13 + -4(1 + 5x) = 3(7 + -5x + -15) 13 + (1 * -4 + 5x * -4) = 3(7 + -5x + -15) 13 + (-4 + -20x) = 3(7 + -5x + -15) Combine like terms: 13 + -4 = 9 9 + -20x = 3(7 + -5x + -15) Reorder the terms: 9 + -20x = 3(7 + -15 + -5x) Combine like terms: 7 + -15 = -8 9 + -20x = 3(-8 + -5x) 9 + -20x = (-8 * 3 + -5x * 3) 9 + -20x = (-24 + -15x) Solving 9 + -20x = -24 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 9 + -20x + 15x = -24 + -15x + 15x Combine like terms: -20x + 15x = -5x 9 + -5x = -24 + -15x + 15x Combine like terms: -15x + 15x = 0 9 + -5x = -24 + 0 9 + -5x = -24 Add '-9' to each side of the equation. 9 + -9 + -5x = -24 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = -24 + -9 -5x = -24 + -9 Combine like terms: -24 + -9 = -33 -5x = -33 Divide each side by '-5'. x = 6.6 Simplifying x = 6.6
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