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Simplifying 4(1 + -1x) + -2x = 3x + 1 (1 * 4 + -1x * 4) + -2x = 3x + 1 (4 + -4x) + -2x = 3x + 1 Combine like terms: -4x + -2x = -6x 4 + -6x = 3x + 1 Reorder the terms: 4 + -6x = 1 + 3x Solving 4 + -6x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + -6x + -3x = 1 + 3x + -3x Combine like terms: -6x + -3x = -9x 4 + -9x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -9x = 1 + 0 4 + -9x = 1 Add '-4' to each side of the equation. 4 + -4 + -9x = 1 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = 1 + -4 -9x = 1 + -4 Combine like terms: 1 + -4 = -3 -9x = -3 Divide each side by '-9'. x = 0.3333333333 Simplifying x = 0.3333333333
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