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Simplifying -2x + -33 = 2(4x + 5) + 7 Reorder the terms: -33 + -2x = 2(4x + 5) + 7 Reorder the terms: -33 + -2x = 2(5 + 4x) + 7 -33 + -2x = (5 * 2 + 4x * 2) + 7 -33 + -2x = (10 + 8x) + 7 Reorder the terms: -33 + -2x = 10 + 7 + 8x Combine like terms: 10 + 7 = 17 -33 + -2x = 17 + 8x Solving -33 + -2x = 17 + 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. -33 + -2x + -8x = 17 + 8x + -8x Combine like terms: -2x + -8x = -10x -33 + -10x = 17 + 8x + -8x Combine like terms: 8x + -8x = 0 -33 + -10x = 17 + 0 -33 + -10x = 17 Add '33' to each side of the equation. -33 + 33 + -10x = 17 + 33 Combine like terms: -33 + 33 = 0 0 + -10x = 17 + 33 -10x = 17 + 33 Combine like terms: 17 + 33 = 50 -10x = 50 Divide each side by '-10'. x = -5 Simplifying x = -5
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