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Simplifying 6(2 + -7x) = -6x + 6(5 + -7x) (2 * 6 + -7x * 6) = -6x + 6(5 + -7x) (12 + -42x) = -6x + 6(5 + -7x) 12 + -42x = -6x + (5 * 6 + -7x * 6) 12 + -42x = -6x + (30 + -42x) Reorder the terms: 12 + -42x = 30 + -6x + -42x Combine like terms: -6x + -42x = -48x 12 + -42x = 30 + -48x Solving 12 + -42x = 30 + -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. 12 + -42x + 48x = 30 + -48x + 48x Combine like terms: -42x + 48x = 6x 12 + 6x = 30 + -48x + 48x Combine like terms: -48x + 48x = 0 12 + 6x = 30 + 0 12 + 6x = 30 Add '-12' to each side of the equation. 12 + -12 + 6x = 30 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 30 + -12 6x = 30 + -12 Combine like terms: 30 + -12 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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