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Simplifying 4[7 + -1(-5x + -9)] = 100x + -208 Reorder the terms: 4[7 + -1(-9 + -5x)] = 100x + -208 4[7 + (-9 * -1 + -5x * -1)] = 100x + -208 4[7 + (9 + 5x)] = 100x + -208 Combine like terms: 7 + 9 = 16 4[16 + 5x] = 100x + -208 [16 * 4 + 5x * 4] = 100x + -208 [64 + 20x] = 100x + -208 Reorder the terms: 64 + 20x = -208 + 100x Solving 64 + 20x = -208 + 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. 64 + 20x + -100x = -208 + 100x + -100x Combine like terms: 20x + -100x = -80x 64 + -80x = -208 + 100x + -100x Combine like terms: 100x + -100x = 0 64 + -80x = -208 + 0 64 + -80x = -208 Add '-64' to each side of the equation. 64 + -64 + -80x = -208 + -64 Combine like terms: 64 + -64 = 0 0 + -80x = -208 + -64 -80x = -208 + -64 Combine like terms: -208 + -64 = -272 -80x = -272 Divide each side by '-80'. x = 3.4 Simplifying x = 3.4
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