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Simplifying 6(x + 7) = -2(5 + -1x) Reorder the terms: 6(7 + x) = -2(5 + -1x) (7 * 6 + x * 6) = -2(5 + -1x) (42 + 6x) = -2(5 + -1x) 42 + 6x = (5 * -2 + -1x * -2) 42 + 6x = (-10 + 2x) Solving 42 + 6x = -10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 42 + 6x + -2x = -10 + 2x + -2x Combine like terms: 6x + -2x = 4x 42 + 4x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 42 + 4x = -10 + 0 42 + 4x = -10 Add '-42' to each side of the equation. 42 + -42 + 4x = -10 + -42 Combine like terms: 42 + -42 = 0 0 + 4x = -10 + -42 4x = -10 + -42 Combine like terms: -10 + -42 = -52 4x = -52 Divide each side by '4'. x = -13 Simplifying x = -13
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