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Simplifying 4[1 + -1(-5x + -7)] = 100x + 144 Reorder the terms: 4[1 + -1(-7 + -5x)] = 100x + 144 4[1 + (-7 * -1 + -5x * -1)] = 100x + 144 4[1 + (7 + 5x)] = 100x + 144 Combine like terms: 1 + 7 = 8 4[8 + 5x] = 100x + 144 [8 * 4 + 5x * 4] = 100x + 144 [32 + 20x] = 100x + 144 Reorder the terms: 32 + 20x = 144 + 100x Solving 32 + 20x = 144 + 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. 32 + 20x + -100x = 144 + 100x + -100x Combine like terms: 20x + -100x = -80x 32 + -80x = 144 + 100x + -100x Combine like terms: 100x + -100x = 0 32 + -80x = 144 + 0 32 + -80x = 144 Add '-32' to each side of the equation. 32 + -32 + -80x = 144 + -32 Combine like terms: 32 + -32 = 0 0 + -80x = 144 + -32 -80x = 144 + -32 Combine like terms: 144 + -32 = 112 -80x = 112 Divide each side by '-80'. x = -1.4 Simplifying x = -1.4
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