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Simplifying 2(3x + 7) = 10(x + 1) Reorder the terms: 2(7 + 3x) = 10(x + 1) (7 * 2 + 3x * 2) = 10(x + 1) (14 + 6x) = 10(x + 1) Reorder the terms: 14 + 6x = 10(1 + x) 14 + 6x = (1 * 10 + x * 10) 14 + 6x = (10 + 10x) Solving 14 + 6x = 10 + 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 + 6x + -10x = 10 + 10x + -10x Combine like terms: 6x + -10x = -4x 14 + -4x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 14 + -4x = 10 + 0 14 + -4x = 10 Add '-14' to each side of the equation. 14 + -14 + -4x = 10 + -14 Combine like terms: 14 + -14 = 0 0 + -4x = 10 + -14 -4x = 10 + -14 Combine like terms: 10 + -14 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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