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