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Simplifying 3(x + 1) + -5x = 2x + 4(x + -1) Reorder the terms: 3(1 + x) + -5x = 2x + 4(x + -1) (1 * 3 + x * 3) + -5x = 2x + 4(x + -1) (3 + 3x) + -5x = 2x + 4(x + -1) Combine like terms: 3x + -5x = -2x 3 + -2x = 2x + 4(x + -1) Reorder the terms: 3 + -2x = 2x + 4(-1 + x) 3 + -2x = 2x + (-1 * 4 + x * 4) 3 + -2x = 2x + (-4 + 4x) Reorder the terms: 3 + -2x = -4 + 2x + 4x Combine like terms: 2x + 4x = 6x 3 + -2x = -4 + 6x Solving 3 + -2x = -4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 3 + -2x + -6x = -4 + 6x + -6x Combine like terms: -2x + -6x = -8x 3 + -8x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + -8x = -4 + 0 3 + -8x = -4 Add '-3' to each side of the equation. 3 + -3 + -8x = -4 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = -4 + -3 -8x = -4 + -3 Combine like terms: -4 + -3 = -7 -8x = -7 Divide each side by '-8'. x = 0.875 Simplifying x = 0.875
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