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Simplifying 4(2x + 1) + -1x = 2(4x + -5) Reorder the terms: 4(1 + 2x) + -1x = 2(4x + -5) (1 * 4 + 2x * 4) + -1x = 2(4x + -5) (4 + 8x) + -1x = 2(4x + -5) Combine like terms: 8x + -1x = 7x 4 + 7x = 2(4x + -5) Reorder the terms: 4 + 7x = 2(-5 + 4x) 4 + 7x = (-5 * 2 + 4x * 2) 4 + 7x = (-10 + 8x) Solving 4 + 7x = -10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4 + 7x + -8x = -10 + 8x + -8x Combine like terms: 7x + -8x = -1x 4 + -1x = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + -1x = -10 + 0 4 + -1x = -10 Add '-4' to each side of the equation. 4 + -4 + -1x = -10 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = -10 + -4 -1x = -10 + -4 Combine like terms: -10 + -4 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14
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