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Simplifying 5(4x + 1) = 10 + -1(3x + -3) Reorder the terms: 5(1 + 4x) = 10 + -1(3x + -3) (1 * 5 + 4x * 5) = 10 + -1(3x + -3) (5 + 20x) = 10 + -1(3x + -3) Reorder the terms: 5 + 20x = 10 + -1(-3 + 3x) 5 + 20x = 10 + (-3 * -1 + 3x * -1) 5 + 20x = 10 + (3 + -3x) Combine like terms: 10 + 3 = 13 5 + 20x = 13 + -3x Solving 5 + 20x = 13 + -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. 5 + 20x + 3x = 13 + -3x + 3x Combine like terms: 20x + 3x = 23x 5 + 23x = 13 + -3x + 3x Combine like terms: -3x + 3x = 0 5 + 23x = 13 + 0 5 + 23x = 13 Add '-5' to each side of the equation. 5 + -5 + 23x = 13 + -5 Combine like terms: 5 + -5 = 0 0 + 23x = 13 + -5 23x = 13 + -5 Combine like terms: 13 + -5 = 8 23x = 8 Divide each side by '23'. x = 0.347826087 Simplifying x = 0.347826087
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