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Simplifying 12 + -2(2x + 1) = 4(x + -1) Reorder the terms: 12 + -2(1 + 2x) = 4(x + -1) 12 + (1 * -2 + 2x * -2) = 4(x + -1) 12 + (-2 + -4x) = 4(x + -1) Combine like terms: 12 + -2 = 10 10 + -4x = 4(x + -1) Reorder the terms: 10 + -4x = 4(-1 + x) 10 + -4x = (-1 * 4 + x * 4) 10 + -4x = (-4 + 4x) Solving 10 + -4x = -4 + 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. 10 + -4x + -4x = -4 + 4x + -4x Combine like terms: -4x + -4x = -8x 10 + -8x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + -8x = -4 + 0 10 + -8x = -4 Add '-10' to each side of the equation. 10 + -10 + -8x = -4 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = -4 + -10 -8x = -4 + -10 Combine like terms: -4 + -10 = -14 -8x = -14 Divide each side by '-8'. x = 1.75 Simplifying x = 1.75
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