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Simplifying 7x + 10 = 3x + 12 + 3x + 18 Reorder the terms: 10 + 7x = 3x + 12 + 3x + 18 Reorder the terms: 10 + 7x = 12 + 18 + 3x + 3x Combine like terms: 12 + 18 = 30 10 + 7x = 30 + 3x + 3x Combine like terms: 3x + 3x = 6x 10 + 7x = 30 + 6x Solving 10 + 7x = 30 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 10 + 7x + -6x = 30 + 6x + -6x Combine like terms: 7x + -6x = 1x 10 + 1x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + 1x = 30 + 0 10 + 1x = 30 Add '-10' to each side of the equation. 10 + -10 + 1x = 30 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 30 + -10 1x = 30 + -10 Combine like terms: 30 + -10 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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