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Simplifying 3x + -1(8x + 7) = 8x + -33 Reorder the terms: 3x + -1(7 + 8x) = 8x + -33 3x + (7 * -1 + 8x * -1) = 8x + -33 3x + (-7 + -8x) = 8x + -33 Reorder the terms: -7 + 3x + -8x = 8x + -33 Combine like terms: 3x + -8x = -5x -7 + -5x = 8x + -33 Reorder the terms: -7 + -5x = -33 + 8x Solving -7 + -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. -7 + -5x + -8x = -33 + 8x + -8x Combine like terms: -5x + -8x = -13x -7 + -13x = -33 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + -13x = -33 + 0 -7 + -13x = -33 Add '7' to each side of the equation. -7 + 7 + -13x = -33 + 7 Combine like terms: -7 + 7 = 0 0 + -13x = -33 + 7 -13x = -33 + 7 Combine like terms: -33 + 7 = -26 -13x = -26 Divide each side by '-13'. x = 2 Simplifying x = 2
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