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Simplifying 6(3x + 5) = 1(10x + 10) Reorder the terms: 6(5 + 3x) = 1(10x + 10) (5 * 6 + 3x * 6) = 1(10x + 10) (30 + 18x) = 1(10x + 10) Reorder the terms: 30 + 18x = 1(10 + 10x) 30 + 18x = (10 * 1 + 10x * 1) 30 + 18x = (10 + 10x) Solving 30 + 18x = 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. 30 + 18x + -10x = 10 + 10x + -10x Combine like terms: 18x + -10x = 8x 30 + 8x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 30 + 8x = 10 + 0 30 + 8x = 10 Add '-30' to each side of the equation. 30 + -30 + 8x = 10 + -30 Combine like terms: 30 + -30 = 0 0 + 8x = 10 + -30 8x = 10 + -30 Combine like terms: 10 + -30 = -20 8x = -20 Divide each side by '8'. x = -2.5 Simplifying x = -2.5
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