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Simplifying 1x + 4(1 + -1x) = 4x + 1(1 + -1x) 1x + (1 * 4 + -1x * 4) = 4x + 1(1 + -1x) 1x + (4 + -4x) = 4x + 1(1 + -1x) Reorder the terms: 4 + 1x + -4x = 4x + 1(1 + -1x) Combine like terms: 1x + -4x = -3x 4 + -3x = 4x + 1(1 + -1x) 4 + -3x = 4x + (1 * 1 + -1x * 1) 4 + -3x = 4x + (1 + -1x) Reorder the terms: 4 + -3x = 1 + 4x + -1x Combine like terms: 4x + -1x = 3x 4 + -3x = 1 + 3x Solving 4 + -3x = 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 + -3x + -3x = 1 + 3x + -3x Combine like terms: -3x + -3x = -6x 4 + -6x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -6x = 1 + 0 4 + -6x = 1 Add '-4' to each side of the equation. 4 + -4 + -6x = 1 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = 1 + -4 -6x = 1 + -4 Combine like terms: 1 + -4 = -3 -6x = -3 Divide each side by '-6'. x = 0.5 Simplifying x = 0.5
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