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Simplifying -5x + 12 = 10x + -33 Reorder the terms: 12 + -5x = 10x + -33 Reorder the terms: 12 + -5x = -33 + 10x Solving 12 + -5x = -33 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12 + -5x + -10x = -33 + 10x + -10x Combine like terms: -5x + -10x = -15x 12 + -15x = -33 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -15x = -33 + 0 12 + -15x = -33 Add '-12' to each side of the equation. 12 + -12 + -15x = -33 + -12 Combine like terms: 12 + -12 = 0 0 + -15x = -33 + -12 -15x = -33 + -12 Combine like terms: -33 + -12 = -45 -15x = -45 Divide each side by '-15'. x = 3 Simplifying x = 3
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