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Simplifying 8 + -1(1 + 5x) + 5 = 13 + 5x 8 + (1 * -1 + 5x * -1) + 5 = 13 + 5x 8 + (-1 + -5x) + 5 = 13 + 5x Reorder the terms: 8 + -1 + 5 + -5x = 13 + 5x Combine like terms: 8 + -1 = 7 7 + 5 + -5x = 13 + 5x Combine like terms: 7 + 5 = 12 12 + -5x = 13 + 5x Solving 12 + -5x = 13 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + -5x + -5x = 13 + 5x + -5x Combine like terms: -5x + -5x = -10x 12 + -10x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -10x = 13 + 0 12 + -10x = 13 Add '-12' to each side of the equation. 12 + -12 + -10x = 13 + -12 Combine like terms: 12 + -12 = 0 0 + -10x = 13 + -12 -10x = 13 + -12 Combine like terms: 13 + -12 = 1 -10x = 1 Divide each side by '-10'. x = -0.1 Simplifying x = -0.1
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