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Simplifying 3x + 5 + -4 = -1(1 + 2x) + x Reorder the terms: 5 + -4 + 3x = -1(1 + 2x) + x Combine like terms: 5 + -4 = 1 1 + 3x = -1(1 + 2x) + x 1 + 3x = (1 * -1 + 2x * -1) + x 1 + 3x = (-1 + -2x) + x Combine like terms: -2x + x = -1x 1 + 3x = -1 + -1x Solving 1 + 3x = -1 + -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 + 3x + x = -1 + -1x + x Combine like terms: 3x + x = 4x 1 + 4x = -1 + -1x + x Combine like terms: -1x + x = 0 1 + 4x = -1 + 0 1 + 4x = -1 Add '-1' to each side of the equation. 1 + -1 + 4x = -1 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = -1 + -1 4x = -1 + -1 Combine like terms: -1 + -1 = -2 4x = -2 Divide each side by '4'. x = -0.5 Simplifying x = -0.5
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