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Simplifying 5 + -2(2x + -5) = 1 + 2(2x + -4) Reorder the terms: 5 + -2(-5 + 2x) = 1 + 2(2x + -4) 5 + (-5 * -2 + 2x * -2) = 1 + 2(2x + -4) 5 + (10 + -4x) = 1 + 2(2x + -4) Combine like terms: 5 + 10 = 15 15 + -4x = 1 + 2(2x + -4) Reorder the terms: 15 + -4x = 1 + 2(-4 + 2x) 15 + -4x = 1 + (-4 * 2 + 2x * 2) 15 + -4x = 1 + (-8 + 4x) Combine like terms: 1 + -8 = -7 15 + -4x = -7 + 4x Solving 15 + -4x = -7 + 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. 15 + -4x + -4x = -7 + 4x + -4x Combine like terms: -4x + -4x = -8x 15 + -8x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + -8x = -7 + 0 15 + -8x = -7 Add '-15' to each side of the equation. 15 + -15 + -8x = -7 + -15 Combine like terms: 15 + -15 = 0 0 + -8x = -7 + -15 -8x = -7 + -15 Combine like terms: -7 + -15 = -22 -8x = -22 Divide each side by '-8'. x = 2.75 Simplifying x = 2.75
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