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Simplifying 5(x + 7) = 10x + 12 Reorder the terms: 5(7 + x) = 10x + 12 (7 * 5 + x * 5) = 10x + 12 (35 + 5x) = 10x + 12 Reorder the terms: 35 + 5x = 12 + 10x Solving 35 + 5x = 12 + 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. 35 + 5x + -10x = 12 + 10x + -10x Combine like terms: 5x + -10x = -5x 35 + -5x = 12 + 10x + -10x Combine like terms: 10x + -10x = 0 35 + -5x = 12 + 0 35 + -5x = 12 Add '-35' to each side of the equation. 35 + -35 + -5x = 12 + -35 Combine like terms: 35 + -35 = 0 0 + -5x = 12 + -35 -5x = 12 + -35 Combine like terms: 12 + -35 = -23 -5x = -23 Divide each side by '-5'. x = 4.6 Simplifying x = 4.6
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