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Simplifying 2(x + 7) = 10(x + 3) Reorder the terms: 2(7 + x) = 10(x + 3) (7 * 2 + x * 2) = 10(x + 3) (14 + 2x) = 10(x + 3) Reorder the terms: 14 + 2x = 10(3 + x) 14 + 2x = (3 * 10 + x * 10) 14 + 2x = (30 + 10x) Solving 14 + 2x = 30 + 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. 14 + 2x + -10x = 30 + 10x + -10x Combine like terms: 2x + -10x = -8x 14 + -8x = 30 + 10x + -10x Combine like terms: 10x + -10x = 0 14 + -8x = 30 + 0 14 + -8x = 30 Add '-14' to each side of the equation. 14 + -14 + -8x = 30 + -14 Combine like terms: 14 + -14 = 0 0 + -8x = 30 + -14 -8x = 30 + -14 Combine like terms: 30 + -14 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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