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Simplifying 5(3x + -1) + 7 = 2 + -1(5x + -3) Reorder the terms: 5(-1 + 3x) + 7 = 2 + -1(5x + -3) (-1 * 5 + 3x * 5) + 7 = 2 + -1(5x + -3) (-5 + 15x) + 7 = 2 + -1(5x + -3) Reorder the terms: -5 + 7 + 15x = 2 + -1(5x + -3) Combine like terms: -5 + 7 = 2 2 + 15x = 2 + -1(5x + -3) Reorder the terms: 2 + 15x = 2 + -1(-3 + 5x) 2 + 15x = 2 + (-3 * -1 + 5x * -1) 2 + 15x = 2 + (3 + -5x) Combine like terms: 2 + 3 = 5 2 + 15x = 5 + -5x Solving 2 + 15x = 5 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 2 + 15x + 5x = 5 + -5x + 5x Combine like terms: 15x + 5x = 20x 2 + 20x = 5 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + 20x = 5 + 0 2 + 20x = 5 Add '-2' to each side of the equation. 2 + -2 + 20x = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 20x = 5 + -2 20x = 5 + -2 Combine like terms: 5 + -2 = 3 20x = 3 Divide each side by '20'. x = 0.15 Simplifying x = 0.15
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