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Simplifying 3(1 + -1x) + -5 = 3(1 + x) + -7 (1 * 3 + -1x * 3) + -5 = 3(1 + x) + -7 (3 + -3x) + -5 = 3(1 + x) + -7 Reorder the terms: 3 + -5 + -3x = 3(1 + x) + -7 Combine like terms: 3 + -5 = -2 -2 + -3x = 3(1 + x) + -7 -2 + -3x = (1 * 3 + x * 3) + -7 -2 + -3x = (3 + 3x) + -7 Reorder the terms: -2 + -3x = 3 + -7 + 3x Combine like terms: 3 + -7 = -4 -2 + -3x = -4 + 3x Solving -2 + -3x = -4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + -3x + -3x = -4 + 3x + -3x Combine like terms: -3x + -3x = -6x -2 + -6x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -6x = -4 + 0 -2 + -6x = -4 Add '2' to each side of the equation. -2 + 2 + -6x = -4 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = -4 + 2 -6x = -4 + 2 Combine like terms: -4 + 2 = -2 -6x = -2 Divide each side by '-6'. x = 0.3333333333 Simplifying x = 0.3333333333
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