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Simplifying 7(6 + -1x) = 5x + -2(5x + -6) (6 * 7 + -1x * 7) = 5x + -2(5x + -6) (42 + -7x) = 5x + -2(5x + -6) Reorder the terms: 42 + -7x = 5x + -2(-6 + 5x) 42 + -7x = 5x + (-6 * -2 + 5x * -2) 42 + -7x = 5x + (12 + -10x) Reorder the terms: 42 + -7x = 12 + 5x + -10x Combine like terms: 5x + -10x = -5x 42 + -7x = 12 + -5x Solving 42 + -7x = 12 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 42 + -7x + 5x = 12 + -5x + 5x Combine like terms: -7x + 5x = -2x 42 + -2x = 12 + -5x + 5x Combine like terms: -5x + 5x = 0 42 + -2x = 12 + 0 42 + -2x = 12 Add '-42' to each side of the equation. 42 + -42 + -2x = 12 + -42 Combine like terms: 42 + -42 = 0 0 + -2x = 12 + -42 -2x = 12 + -42 Combine like terms: 12 + -42 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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