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Simplifying 5x + 12 = -33 + -10x 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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