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Simplifying 8(1 + -6x) + -1 = -8x + -33 (1 * 8 + -6x * 8) + -1 = -8x + -33 (8 + -48x) + -1 = -8x + -33 Reorder the terms: 8 + -1 + -48x = -8x + -33 Combine like terms: 8 + -1 = 7 7 + -48x = -8x + -33 Reorder the terms: 7 + -48x = -33 + -8x Solving 7 + -48x = -33 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 7 + -48x + 8x = -33 + -8x + 8x Combine like terms: -48x + 8x = -40x 7 + -40x = -33 + -8x + 8x Combine like terms: -8x + 8x = 0 7 + -40x = -33 + 0 7 + -40x = -33 Add '-7' to each side of the equation. 7 + -7 + -40x = -33 + -7 Combine like terms: 7 + -7 = 0 0 + -40x = -33 + -7 -40x = -33 + -7 Combine like terms: -33 + -7 = -40 -40x = -40 Divide each side by '-40'. x = 1 Simplifying x = 1
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