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Simplifying 5 + 7(1 + -1x) + -5x = x + -8 5 + (1 * 7 + -1x * 7) + -5x = x + -8 5 + (7 + -7x) + -5x = x + -8 Combine like terms: 5 + 7 = 12 12 + -7x + -5x = x + -8 Combine like terms: -7x + -5x = -12x 12 + -12x = x + -8 Reorder the terms: 12 + -12x = -8 + x Solving 12 + -12x = -8 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 12 + -12x + -1x = -8 + x + -1x Combine like terms: -12x + -1x = -13x 12 + -13x = -8 + x + -1x Combine like terms: x + -1x = 0 12 + -13x = -8 + 0 12 + -13x = -8 Add '-12' to each side of the equation. 12 + -12 + -13x = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -13x = -8 + -12 -13x = -8 + -12 Combine like terms: -8 + -12 = -20 -13x = -20 Divide each side by '-13'. x = 1.538461538 Simplifying x = 1.538461538
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