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Simplifying 6(7 + 3x) = 5(2x + 2) (7 * 6 + 3x * 6) = 5(2x + 2) (42 + 18x) = 5(2x + 2) Reorder the terms: 42 + 18x = 5(2 + 2x) 42 + 18x = (2 * 5 + 2x * 5) 42 + 18x = (10 + 10x) Solving 42 + 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. 42 + 18x + -10x = 10 + 10x + -10x Combine like terms: 18x + -10x = 8x 42 + 8x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 42 + 8x = 10 + 0 42 + 8x = 10 Add '-42' to each side of the equation. 42 + -42 + 8x = 10 + -42 Combine like terms: 42 + -42 = 0 0 + 8x = 10 + -42 8x = 10 + -42 Combine like terms: 10 + -42 = -32 8x = -32 Divide each side by '8'. x = -4 Simplifying x = -4
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