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Simplifying 5x + 45 = 8x + 12 Reorder the terms: 45 + 5x = 8x + 12 Reorder the terms: 45 + 5x = 12 + 8x Solving 45 + 5x = 12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 45 + 5x + -8x = 12 + 8x + -8x Combine like terms: 5x + -8x = -3x 45 + -3x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 45 + -3x = 12 + 0 45 + -3x = 12 Add '-45' to each side of the equation. 45 + -45 + -3x = 12 + -45 Combine like terms: 45 + -45 = 0 0 + -3x = 12 + -45 -3x = 12 + -45 Combine like terms: 12 + -45 = -33 -3x = -33 Divide each side by '-3'. x = 11 Simplifying x = 11
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