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Simplifying 5x + -33 = 2(x + 2) + -7 Reorder the terms: -33 + 5x = 2(x + 2) + -7 Reorder the terms: -33 + 5x = 2(2 + x) + -7 -33 + 5x = (2 * 2 + x * 2) + -7 -33 + 5x = (4 + 2x) + -7 Reorder the terms: -33 + 5x = 4 + -7 + 2x Combine like terms: 4 + -7 = -3 -33 + 5x = -3 + 2x Solving -33 + 5x = -3 + 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. -33 + 5x + -2x = -3 + 2x + -2x Combine like terms: 5x + -2x = 3x -33 + 3x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 -33 + 3x = -3 + 0 -33 + 3x = -3 Add '33' to each side of the equation. -33 + 33 + 3x = -3 + 33 Combine like terms: -33 + 33 = 0 0 + 3x = -3 + 33 3x = -3 + 33 Combine like terms: -3 + 33 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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