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Simplifying 7 + 2(5x + -1) = -3(5x + -1) + 9 Reorder the terms: 7 + 2(-1 + 5x) = -3(5x + -1) + 9 7 + (-1 * 2 + 5x * 2) = -3(5x + -1) + 9 7 + (-2 + 10x) = -3(5x + -1) + 9 Combine like terms: 7 + -2 = 5 5 + 10x = -3(5x + -1) + 9 Reorder the terms: 5 + 10x = -3(-1 + 5x) + 9 5 + 10x = (-1 * -3 + 5x * -3) + 9 5 + 10x = (3 + -15x) + 9 Reorder the terms: 5 + 10x = 3 + 9 + -15x Combine like terms: 3 + 9 = 12 5 + 10x = 12 + -15x Solving 5 + 10x = 12 + -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. 5 + 10x + 15x = 12 + -15x + 15x Combine like terms: 10x + 15x = 25x 5 + 25x = 12 + -15x + 15x Combine like terms: -15x + 15x = 0 5 + 25x = 12 + 0 5 + 25x = 12 Add '-5' to each side of the equation. 5 + -5 + 25x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 25x = 12 + -5 25x = 12 + -5 Combine like terms: 12 + -5 = 7 25x = 7 Divide each side by '25'. x = 0.28 Simplifying x = 0.28
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