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Simplifying 34 = -2(22 + -1x) + 3(x + -4) 34 = (22 * -2 + -1x * -2) + 3(x + -4) 34 = (-44 + 2x) + 3(x + -4) Reorder the terms: 34 = -44 + 2x + 3(-4 + x) 34 = -44 + 2x + (-4 * 3 + x * 3) 34 = -44 + 2x + (-12 + 3x) Reorder the terms: 34 = -44 + -12 + 2x + 3x Combine like terms: -44 + -12 = -56 34 = -56 + 2x + 3x Combine like terms: 2x + 3x = 5x 34 = -56 + 5x Solving 34 = -56 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 34 + -5x = -56 + 5x + -5x Combine like terms: 5x + -5x = 0 34 + -5x = -56 + 0 34 + -5x = -56 Add '-34' to each side of the equation. 34 + -34 + -5x = -56 + -34 Combine like terms: 34 + -34 = 0 0 + -5x = -56 + -34 -5x = -56 + -34 Combine like terms: -56 + -34 = -90 -5x = -90 Divide each side by '-5'. x = 18 Simplifying x = 18
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