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Simplifying 4(3 + -1x) = 2(2x + 1) (3 * 4 + -1x * 4) = 2(2x + 1) (12 + -4x) = 2(2x + 1) Reorder the terms: 12 + -4x = 2(1 + 2x) 12 + -4x = (1 * 2 + 2x * 2) 12 + -4x = (2 + 4x) Solving 12 + -4x = 2 + 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. 12 + -4x + -4x = 2 + 4x + -4x Combine like terms: -4x + -4x = -8x 12 + -8x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -8x = 2 + 0 12 + -8x = 2 Add '-12' to each side of the equation. 12 + -12 + -8x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = 2 + -12 -8x = 2 + -12 Combine like terms: 2 + -12 = -10 -8x = -10 Divide each side by '-8'. x = 1.25 Simplifying x = 1.25
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