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Simplifying 2(x + 5) = 6(x + 1) Reorder the terms: 2(5 + x) = 6(x + 1) (5 * 2 + x * 2) = 6(x + 1) (10 + 2x) = 6(x + 1) Reorder the terms: 10 + 2x = 6(1 + x) 10 + 2x = (1 * 6 + x * 6) 10 + 2x = (6 + 6x) Solving 10 + 2x = 6 + 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 + 2x + -6x = 6 + 6x + -6x Combine like terms: 2x + -6x = -4x 10 + -4x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + -4x = 6 + 0 10 + -4x = 6 Add '-10' to each side of the equation. 10 + -10 + -4x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = 6 + -10 -4x = 6 + -10 Combine like terms: 6 + -10 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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