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Simplifying 5(x + -2) + -4(x + -6) = -15 Reorder the terms: 5(-2 + x) + -4(x + -6) = -15 (-2 * 5 + x * 5) + -4(x + -6) = -15 (-10 + 5x) + -4(x + -6) = -15 Reorder the terms: -10 + 5x + -4(-6 + x) = -15 -10 + 5x + (-6 * -4 + x * -4) = -15 -10 + 5x + (24 + -4x) = -15 Reorder the terms: -10 + 24 + 5x + -4x = -15 Combine like terms: -10 + 24 = 14 14 + 5x + -4x = -15 Combine like terms: 5x + -4x = 1x 14 + 1x = -15 Solving 14 + 1x = -15 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 + 1x = -15 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = -15 + -14 1x = -15 + -14 Combine like terms: -15 + -14 = -29 1x = -29 Divide each side by '1'. x = -29 Simplifying x = -29
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