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Simplifying 4[7 + -1(-2x + -9)] = 40x + 208 Reorder the terms: 4[7 + -1(-9 + -2x)] = 40x + 208 4[7 + (-9 * -1 + -2x * -1)] = 40x + 208 4[7 + (9 + 2x)] = 40x + 208 Combine like terms: 7 + 9 = 16 4[16 + 2x] = 40x + 208 [16 * 4 + 2x * 4] = 40x + 208 [64 + 8x] = 40x + 208 Reorder the terms: 64 + 8x = 208 + 40x Solving 64 + 8x = 208 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 64 + 8x + -40x = 208 + 40x + -40x Combine like terms: 8x + -40x = -32x 64 + -32x = 208 + 40x + -40x Combine like terms: 40x + -40x = 0 64 + -32x = 208 + 0 64 + -32x = 208 Add '-64' to each side of the equation. 64 + -64 + -32x = 208 + -64 Combine like terms: 64 + -64 = 0 0 + -32x = 208 + -64 -32x = 208 + -64 Combine like terms: 208 + -64 = 144 -32x = 144 Divide each side by '-32'. x = -4.5 Simplifying x = -4.5
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