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Simplifying 3(5x + -1) + -7 = -5(3x + 2) Reorder the terms: 3(-1 + 5x) + -7 = -5(3x + 2) (-1 * 3 + 5x * 3) + -7 = -5(3x + 2) (-3 + 15x) + -7 = -5(3x + 2) Reorder the terms: -3 + -7 + 15x = -5(3x + 2) Combine like terms: -3 + -7 = -10 -10 + 15x = -5(3x + 2) Reorder the terms: -10 + 15x = -5(2 + 3x) -10 + 15x = (2 * -5 + 3x * -5) -10 + 15x = (-10 + -15x) Add '10' to each side of the equation. -10 + 10 + 15x = -10 + 10 + -15x Combine like terms: -10 + 10 = 0 0 + 15x = -10 + 10 + -15x 15x = -10 + 10 + -15x Combine like terms: -10 + 10 = 0 15x = 0 + -15x 15x = -15x Solving 15x = -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. 15x + 15x = -15x + 15x Combine like terms: 15x + 15x = 30x 30x = -15x + 15x Combine like terms: -15x + 15x = 0 30x = 0 Divide each side by '30'. x = 0.0 Simplifying x = 0.0
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