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Simplifying -4(x + -1) + 2x = 34 + 3x Reorder the terms: -4(-1 + x) + 2x = 34 + 3x (-1 * -4 + x * -4) + 2x = 34 + 3x (4 + -4x) + 2x = 34 + 3x Combine like terms: -4x + 2x = -2x 4 + -2x = 34 + 3x Solving 4 + -2x = 34 + 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 + -2x + -3x = 34 + 3x + -3x Combine like terms: -2x + -3x = -5x 4 + -5x = 34 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -5x = 34 + 0 4 + -5x = 34 Add '-4' to each side of the equation. 4 + -4 + -5x = 34 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 34 + -4 -5x = 34 + -4 Combine like terms: 34 + -4 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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