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Simplifying -1x + 33 = 8(5x + -1) Reorder the terms: 33 + -1x = 8(5x + -1) Reorder the terms: 33 + -1x = 8(-1 + 5x) 33 + -1x = (-1 * 8 + 5x * 8) 33 + -1x = (-8 + 40x) Solving 33 + -1x = -8 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 33 + -1x + -40x = -8 + 40x + -40x Combine like terms: -1x + -40x = -41x 33 + -41x = -8 + 40x + -40x Combine like terms: 40x + -40x = 0 33 + -41x = -8 + 0 33 + -41x = -8 Add '-33' to each side of the equation. 33 + -33 + -41x = -8 + -33 Combine like terms: 33 + -33 = 0 0 + -41x = -8 + -33 -41x = -8 + -33 Combine like terms: -8 + -33 = -41 -41x = -41 Divide each side by '-41'. x = 1 Simplifying x = 1
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