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Simplifying 3x + 33 = 10x + -23 Reorder the terms: 33 + 3x = 10x + -23 Reorder the terms: 33 + 3x = -23 + 10x Solving 33 + 3x = -23 + 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. 33 + 3x + -10x = -23 + 10x + -10x Combine like terms: 3x + -10x = -7x 33 + -7x = -23 + 10x + -10x Combine like terms: 10x + -10x = 0 33 + -7x = -23 + 0 33 + -7x = -23 Add '-33' to each side of the equation. 33 + -33 + -7x = -23 + -33 Combine like terms: 33 + -33 = 0 0 + -7x = -23 + -33 -7x = -23 + -33 Combine like terms: -23 + -33 = -56 -7x = -56 Divide each side by '-7'. x = 8 Simplifying x = 8
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