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Simplifying 6(x + 7) = -2(x + -25) Reorder the terms: 6(7 + x) = -2(x + -25) (7 * 6 + x * 6) = -2(x + -25) (42 + 6x) = -2(x + -25) Reorder the terms: 42 + 6x = -2(-25 + x) 42 + 6x = (-25 * -2 + x * -2) 42 + 6x = (50 + -2x) Solving 42 + 6x = 50 + -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 = 50 + -2x + 2x Combine like terms: 6x + 2x = 8x 42 + 8x = 50 + -2x + 2x Combine like terms: -2x + 2x = 0 42 + 8x = 50 + 0 42 + 8x = 50 Add '-42' to each side of the equation. 42 + -42 + 8x = 50 + -42 Combine like terms: 42 + -42 = 0 0 + 8x = 50 + -42 8x = 50 + -42 Combine like terms: 50 + -42 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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