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Simplifying 4(7 + -1(-5x + -8)) = 100x + 188 Reorder the terms: 4(7 + -1(-8 + -5x)) = 100x + 188 4(7 + (-8 * -1 + -5x * -1)) = 100x + 188 4(7 + (8 + 5x)) = 100x + 188 Combine like terms: 7 + 8 = 15 4(15 + 5x) = 100x + 188 (15 * 4 + 5x * 4) = 100x + 188 (60 + 20x) = 100x + 188 Reorder the terms: 60 + 20x = 188 + 100x Solving 60 + 20x = 188 + 100x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100x' to each side of the equation. 60 + 20x + -100x = 188 + 100x + -100x Combine like terms: 20x + -100x = -80x 60 + -80x = 188 + 100x + -100x Combine like terms: 100x + -100x = 0 60 + -80x = 188 + 0 60 + -80x = 188 Add '-60' to each side of the equation. 60 + -60 + -80x = 188 + -60 Combine like terms: 60 + -60 = 0 0 + -80x = 188 + -60 -80x = 188 + -60 Combine like terms: 188 + -60 = 128 -80x = 128 Divide each side by '-80'. x = -1.6 Simplifying x = -1.6
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