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Simplifying 8x + -12 = 15x + -33 Reorder the terms: -12 + 8x = 15x + -33 Reorder the terms: -12 + 8x = -33 + 15x Solving -12 + 8x = -33 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -12 + 8x + -15x = -33 + 15x + -15x Combine like terms: 8x + -15x = -7x -12 + -7x = -33 + 15x + -15x Combine like terms: 15x + -15x = 0 -12 + -7x = -33 + 0 -12 + -7x = -33 Add '12' to each side of the equation. -12 + 12 + -7x = -33 + 12 Combine like terms: -12 + 12 = 0 0 + -7x = -33 + 12 -7x = -33 + 12 Combine like terms: -33 + 12 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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