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Simplifying 4x + -1(3x + -1) = -1x + 12 Reorder the terms: 4x + -1(-1 + 3x) = -1x + 12 4x + (-1 * -1 + 3x * -1) = -1x + 12 4x + (1 + -3x) = -1x + 12 Reorder the terms: 1 + 4x + -3x = -1x + 12 Combine like terms: 4x + -3x = 1x 1 + 1x = -1x + 12 Reorder the terms: 1 + 1x = 12 + -1x Solving 1 + 1x = 12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 1 + 1x + x = 12 + -1x + x Combine like terms: 1x + x = 2x 1 + 2x = 12 + -1x + x Combine like terms: -1x + x = 0 1 + 2x = 12 + 0 1 + 2x = 12 Add '-1' to each side of the equation. 1 + -1 + 2x = 12 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 12 + -1 2x = 12 + -1 Combine like terms: 12 + -1 = 11 2x = 11 Divide each side by '2'. x = 5.5 Simplifying x = 5.5
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