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Simplifying 5(x + 2) = 13 + -4(3x + -1) Reorder the terms: 5(2 + x) = 13 + -4(3x + -1) (2 * 5 + x * 5) = 13 + -4(3x + -1) (10 + 5x) = 13 + -4(3x + -1) Reorder the terms: 10 + 5x = 13 + -4(-1 + 3x) 10 + 5x = 13 + (-1 * -4 + 3x * -4) 10 + 5x = 13 + (4 + -12x) Combine like terms: 13 + 4 = 17 10 + 5x = 17 + -12x Solving 10 + 5x = 17 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 10 + 5x + 12x = 17 + -12x + 12x Combine like terms: 5x + 12x = 17x 10 + 17x = 17 + -12x + 12x Combine like terms: -12x + 12x = 0 10 + 17x = 17 + 0 10 + 17x = 17 Add '-10' to each side of the equation. 10 + -10 + 17x = 17 + -10 Combine like terms: 10 + -10 = 0 0 + 17x = 17 + -10 17x = 17 + -10 Combine like terms: 17 + -10 = 7 17x = 7 Divide each side by '17'. x = 0.4117647059 Simplifying x = 0.4117647059
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