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Simplifying 7x + -1(2x + 3) = 8x + -33 Reorder the terms: 7x + -1(3 + 2x) = 8x + -33 7x + (3 * -1 + 2x * -1) = 8x + -33 7x + (-3 + -2x) = 8x + -33 Reorder the terms: -3 + 7x + -2x = 8x + -33 Combine like terms: 7x + -2x = 5x -3 + 5x = 8x + -33 Reorder the terms: -3 + 5x = -33 + 8x Solving -3 + 5x = -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. -3 + 5x + -8x = -33 + 8x + -8x Combine like terms: 5x + -8x = -3x -3 + -3x = -33 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + -3x = -33 + 0 -3 + -3x = -33 Add '3' to each side of the equation. -3 + 3 + -3x = -33 + 3 Combine like terms: -3 + 3 = 0 0 + -3x = -33 + 3 -3x = -33 + 3 Combine like terms: -33 + 3 = -30 -3x = -30 Divide each side by '-3'. x = 10 Simplifying x = 10
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