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Simplifying 7 + -1(8x + 5) = 5[(2x + -5) + -1(x + -1)] Reorder the terms: 7 + -1(5 + 8x) = 5[(2x + -5) + -1(x + -1)] 7 + (5 * -1 + 8x * -1) = 5[(2x + -5) + -1(x + -1)] 7 + (-5 + -8x) = 5[(2x + -5) + -1(x + -1)] Combine like terms: 7 + -5 = 2 2 + -8x = 5[(2x + -5) + -1(x + -1)] Reorder the terms: 2 + -8x = 5[(-5 + 2x) + -1(x + -1)] Remove parenthesis around (-5 + 2x) 2 + -8x = 5[-5 + 2x + -1(x + -1)] Reorder the terms: 2 + -8x = 5[-5 + 2x + -1(-1 + x)] 2 + -8x = 5[-5 + 2x + (-1 * -1 + x * -1)] 2 + -8x = 5[-5 + 2x + (1 + -1x)] Reorder the terms: 2 + -8x = 5[-5 + 1 + 2x + -1x] Combine like terms: -5 + 1 = -4 2 + -8x = 5[-4 + 2x + -1x] Combine like terms: 2x + -1x = 1x 2 + -8x = 5[-4 + 1x] 2 + -8x = [-4 * 5 + 1x * 5] 2 + -8x = [-20 + 5x] Solving 2 + -8x = -20 + 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. 2 + -8x + -5x = -20 + 5x + -5x Combine like terms: -8x + -5x = -13x 2 + -13x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -13x = -20 + 0 2 + -13x = -20 Add '-2' to each side of the equation. 2 + -2 + -13x = -20 + -2 Combine like terms: 2 + -2 = 0 0 + -13x = -20 + -2 -13x = -20 + -2 Combine like terms: -20 + -2 = -22 -13x = -22 Divide each side by '-13'. x = 1.692307692 Simplifying x = 1.692307692
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