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Simplifying -1x + 33 = 5(x + -2) + 7 Reorder the terms: 33 + -1x = 5(x + -2) + 7 Reorder the terms: 33 + -1x = 5(-2 + x) + 7 33 + -1x = (-2 * 5 + x * 5) + 7 33 + -1x = (-10 + 5x) + 7 Reorder the terms: 33 + -1x = -10 + 7 + 5x Combine like terms: -10 + 7 = -3 33 + -1x = -3 + 5x Solving 33 + -1x = -3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 33 + -1x + -5x = -3 + 5x + -5x Combine like terms: -1x + -5x = -6x 33 + -6x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 33 + -6x = -3 + 0 33 + -6x = -3 Add '-33' to each side of the equation. 33 + -33 + -6x = -3 + -33 Combine like terms: 33 + -33 = 0 0 + -6x = -3 + -33 -6x = -3 + -33 Combine like terms: -3 + -33 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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