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Simplifying -4x + 1(1 + -1x) = 5x + -3(1 + -1x) -4x + (1 * 1 + -1x * 1) = 5x + -3(1 + -1x) -4x + (1 + -1x) = 5x + -3(1 + -1x) Reorder the terms: 1 + -4x + -1x = 5x + -3(1 + -1x) Combine like terms: -4x + -1x = -5x 1 + -5x = 5x + -3(1 + -1x) 1 + -5x = 5x + (1 * -3 + -1x * -3) 1 + -5x = 5x + (-3 + 3x) Reorder the terms: 1 + -5x = -3 + 5x + 3x Combine like terms: 5x + 3x = 8x 1 + -5x = -3 + 8x Solving 1 + -5x = -3 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 1 + -5x + -8x = -3 + 8x + -8x Combine like terms: -5x + -8x = -13x 1 + -13x = -3 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + -13x = -3 + 0 1 + -13x = -3 Add '-1' to each side of the equation. 1 + -1 + -13x = -3 + -1 Combine like terms: 1 + -1 = 0 0 + -13x = -3 + -1 -13x = -3 + -1 Combine like terms: -3 + -1 = -4 -13x = -4 Divide each side by '-13'. x = 0.3076923077 Simplifying x = 0.3076923077
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