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Simplifying 2(4 + -1x) + -1(40x + -8) = -34x (4 * 2 + -1x * 2) + -1(40x + -8) = -34x (8 + -2x) + -1(40x + -8) = -34x Reorder the terms: 8 + -2x + -1(-8 + 40x) = -34x 8 + -2x + (-8 * -1 + 40x * -1) = -34x 8 + -2x + (8 + -40x) = -34x Reorder the terms: 8 + 8 + -2x + -40x = -34x Combine like terms: 8 + 8 = 16 16 + -2x + -40x = -34x Combine like terms: -2x + -40x = -42x 16 + -42x = -34x Solving 16 + -42x = -34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34x' to each side of the equation. 16 + -42x + 34x = -34x + 34x Combine like terms: -42x + 34x = -8x 16 + -8x = -34x + 34x Combine like terms: -34x + 34x = 0 16 + -8x = 0 Add '-16' to each side of the equation. 16 + -16 + -8x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -8x = 0 + -16 -8x = 0 + -16 Combine like terms: 0 + -16 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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