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Simplifying 6(x + 3) = 10(x + 1) Reorder the terms: 6(3 + x) = 10(x + 1) (3 * 6 + x * 6) = 10(x + 1) (18 + 6x) = 10(x + 1) Reorder the terms: 18 + 6x = 10(1 + x) 18 + 6x = (1 * 10 + x * 10) 18 + 6x = (10 + 10x) Solving 18 + 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. 18 + 6x + -10x = 10 + 10x + -10x Combine like terms: 6x + -10x = -4x 18 + -4x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 18 + -4x = 10 + 0 18 + -4x = 10 Add '-18' to each side of the equation. 18 + -18 + -4x = 10 + -18 Combine like terms: 18 + -18 = 0 0 + -4x = 10 + -18 -4x = 10 + -18 Combine like terms: 10 + -18 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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