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Simplifying 3x + 18 = 10x + 52 Reorder the terms: 18 + 3x = 10x + 52 Reorder the terms: 18 + 3x = 52 + 10x Solving 18 + 3x = 52 + 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. 18 + 3x + -10x = 52 + 10x + -10x Combine like terms: 3x + -10x = -7x 18 + -7x = 52 + 10x + -10x Combine like terms: 10x + -10x = 0 18 + -7x = 52 + 0 18 + -7x = 52 Add '-18' to each side of the equation. 18 + -18 + -7x = 52 + -18 Combine like terms: 18 + -18 = 0 0 + -7x = 52 + -18 -7x = 52 + -18 Combine like terms: 52 + -18 = 34 -7x = 34 Divide each side by '-7'. x = -4.857142857 Simplifying x = -4.857142857
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