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Simplifying 3(x + 4) + -5 = 5(2x + 1) Reorder the terms: 3(4 + x) + -5 = 5(2x + 1) (4 * 3 + x * 3) + -5 = 5(2x + 1) (12 + 3x) + -5 = 5(2x + 1) Reorder the terms: 12 + -5 + 3x = 5(2x + 1) Combine like terms: 12 + -5 = 7 7 + 3x = 5(2x + 1) Reorder the terms: 7 + 3x = 5(1 + 2x) 7 + 3x = (1 * 5 + 2x * 5) 7 + 3x = (5 + 10x) Solving 7 + 3x = 5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 7 + 3x + -10x = 5 + 10x + -10x Combine like terms: 3x + -10x = -7x 7 + -7x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 7 + -7x = 5 + 0 7 + -7x = 5 Add '-7' to each side of the equation. 7 + -7 + -7x = 5 + -7 Combine like terms: 7 + -7 = 0 0 + -7x = 5 + -7 -7x = 5 + -7 Combine like terms: 5 + -7 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857
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