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Simplifying 1 + -1(4x + -7) = 2(2x + 5) Reorder the terms: 1 + -1(-7 + 4x) = 2(2x + 5) 1 + (-7 * -1 + 4x * -1) = 2(2x + 5) 1 + (7 + -4x) = 2(2x + 5) Combine like terms: 1 + 7 = 8 8 + -4x = 2(2x + 5) Reorder the terms: 8 + -4x = 2(5 + 2x) 8 + -4x = (5 * 2 + 2x * 2) 8 + -4x = (10 + 4x) Solving 8 + -4x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + -4x + -4x = 10 + 4x + -4x Combine like terms: -4x + -4x = -8x 8 + -8x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -8x = 10 + 0 8 + -8x = 10 Add '-8' to each side of the equation. 8 + -8 + -8x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -8x = 10 + -8 -8x = 10 + -8 Combine like terms: 10 + -8 = 2 -8x = 2 Divide each side by '-8'. x = -0.25 Simplifying x = -0.25
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