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Simplifying -14 + -5(x + 2) = 2x + -6(x + 3) Reorder the terms: -14 + -5(2 + x) = 2x + -6(x + 3) -14 + (2 * -5 + x * -5) = 2x + -6(x + 3) -14 + (-10 + -5x) = 2x + -6(x + 3) Combine like terms: -14 + -10 = -24 -24 + -5x = 2x + -6(x + 3) Reorder the terms: -24 + -5x = 2x + -6(3 + x) -24 + -5x = 2x + (3 * -6 + x * -6) -24 + -5x = 2x + (-18 + -6x) Reorder the terms: -24 + -5x = -18 + 2x + -6x Combine like terms: 2x + -6x = -4x -24 + -5x = -18 + -4x Solving -24 + -5x = -18 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -24 + -5x + 4x = -18 + -4x + 4x Combine like terms: -5x + 4x = -1x -24 + -1x = -18 + -4x + 4x Combine like terms: -4x + 4x = 0 -24 + -1x = -18 + 0 -24 + -1x = -18 Add '24' to each side of the equation. -24 + 24 + -1x = -18 + 24 Combine like terms: -24 + 24 = 0 0 + -1x = -18 + 24 -1x = -18 + 24 Combine like terms: -18 + 24 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6
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