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Simplifying 8[4 + -7(x + -1)] + 5[(2x + 3) + -8] = 13x + -338 Reorder the terms: 8[4 + -7(-1 + x)] + 5[(2x + 3) + -8] = 13x + -338 8[4 + (-1 * -7 + x * -7)] + 5[(2x + 3) + -8] = 13x + -338 8[4 + (7 + -7x)] + 5[(2x + 3) + -8] = 13x + -338 Combine like terms: 4 + 7 = 11 8[11 + -7x] + 5[(2x + 3) + -8] = 13x + -338 [11 * 8 + -7x * 8] + 5[(2x + 3) + -8] = 13x + -338 [88 + -56x] + 5[(2x + 3) + -8] = 13x + -338 Reorder the terms: 88 + -56x + 5[(3 + 2x) + -8] = 13x + -338 Remove parenthesis around (3 + 2x) 88 + -56x + 5[3 + 2x + -8] = 13x + -338 Reorder the terms: 88 + -56x + 5[3 + -8 + 2x] = 13x + -338 Combine like terms: 3 + -8 = -5 88 + -56x + 5[-5 + 2x] = 13x + -338 88 + -56x + [-5 * 5 + 2x * 5] = 13x + -338 88 + -56x + [-25 + 10x] = 13x + -338 Reorder the terms: 88 + -25 + -56x + 10x = 13x + -338 Combine like terms: 88 + -25 = 63 63 + -56x + 10x = 13x + -338 Combine like terms: -56x + 10x = -46x 63 + -46x = 13x + -338 Reorder the terms: 63 + -46x = -338 + 13x Solving 63 + -46x = -338 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 63 + -46x + -13x = -338 + 13x + -13x Combine like terms: -46x + -13x = -59x 63 + -59x = -338 + 13x + -13x Combine like terms: 13x + -13x = 0 63 + -59x = -338 + 0 63 + -59x = -338 Add '-63' to each side of the equation. 63 + -63 + -59x = -338 + -63 Combine like terms: 63 + -63 = 0 0 + -59x = -338 + -63 -59x = -338 + -63 Combine like terms: -338 + -63 = -401 -59x = -401 Divide each side by '-59'. x = 6.796610169 Simplifying x = 6.796610169
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