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Simplifying 5x + -3 + -1[5(2 + -3x)] = 7 5x + -3 + -1[(2 * 5 + -3x * 5)] = 7 5x + -3 + -1[(10 + -15x)] = 7 5x + -3 + [10 * -1 + -15x * -1] = 7 5x + -3 + [-10 + 15x] = 7 Reorder the terms: -3 + -10 + 5x + 15x = 7 Combine like terms: -3 + -10 = -13 -13 + 5x + 15x = 7 Combine like terms: 5x + 15x = 20x -13 + 20x = 7 Solving -13 + 20x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 20x = 7 + 13 Combine like terms: -13 + 13 = 0 0 + 20x = 7 + 13 20x = 7 + 13 Combine like terms: 7 + 13 = 20 20x = 20 Divide each side by '20'. x = 1 Simplifying x = 1
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