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Simplifying 8x + -1(7x + 2) = 2x + -33 Reorder the terms: 8x + -1(2 + 7x) = 2x + -33 8x + (2 * -1 + 7x * -1) = 2x + -33 8x + (-2 + -7x) = 2x + -33 Reorder the terms: -2 + 8x + -7x = 2x + -33 Combine like terms: 8x + -7x = 1x -2 + 1x = 2x + -33 Reorder the terms: -2 + 1x = -33 + 2x Solving -2 + 1x = -33 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + 1x + -2x = -33 + 2x + -2x Combine like terms: 1x + -2x = -1x -2 + -1x = -33 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -1x = -33 + 0 -2 + -1x = -33 Add '2' to each side of the equation. -2 + 2 + -1x = -33 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -33 + 2 -1x = -33 + 2 Combine like terms: -33 + 2 = -31 -1x = -31 Divide each side by '-1'. x = 31 Simplifying x = 31
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