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Simplifying 6(x + 1) + -4(x + -2) = 0 Reorder the terms: 6(1 + x) + -4(x + -2) = 0 (1 * 6 + x * 6) + -4(x + -2) = 0 (6 + 6x) + -4(x + -2) = 0 Reorder the terms: 6 + 6x + -4(-2 + x) = 0 6 + 6x + (-2 * -4 + x * -4) = 0 6 + 6x + (8 + -4x) = 0 Reorder the terms: 6 + 8 + 6x + -4x = 0 Combine like terms: 6 + 8 = 14 14 + 6x + -4x = 0 Combine like terms: 6x + -4x = 2x 14 + 2x = 0 Solving 14 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 2x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 0 + -14 2x = 0 + -14 Combine like terms: 0 + -14 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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