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Simplifying 12(x + 6) + 5x + -30 = 5(2x) Reorder the terms: 12(6 + x) + 5x + -30 = 5(2x) (6 * 12 + x * 12) + 5x + -30 = 5(2x) (72 + 12x) + 5x + -30 = 5(2x) Reorder the terms: 72 + -30 + 12x + 5x = 5(2x) Combine like terms: 72 + -30 = 42 42 + 12x + 5x = 5(2x) Combine like terms: 12x + 5x = 17x 42 + 17x = 5(2x) Remove parenthesis around (2x) 42 + 17x = 5 * 2x Multiply 5 * 2 42 + 17x = 10x Solving 42 + 17x = 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 + 17x + -10x = 10x + -10x Combine like terms: 17x + -10x = 7x 42 + 7x = 10x + -10x Combine like terms: 10x + -10x = 0 42 + 7x = 0 Add '-42' to each side of the equation. 42 + -42 + 7x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 7x = 0 + -42 7x = 0 + -42 Combine like terms: 0 + -42 = -42 7x = -42 Divide each side by '7'. x = -6 Simplifying x = -6
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