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Simplifying -5(x + 2) + -5x = -8(x + -2) + -14 Reorder the terms: -5(2 + x) + -5x = -8(x + -2) + -14 (2 * -5 + x * -5) + -5x = -8(x + -2) + -14 (-10 + -5x) + -5x = -8(x + -2) + -14 Combine like terms: -5x + -5x = -10x -10 + -10x = -8(x + -2) + -14 Reorder the terms: -10 + -10x = -8(-2 + x) + -14 -10 + -10x = (-2 * -8 + x * -8) + -14 -10 + -10x = (16 + -8x) + -14 Reorder the terms: -10 + -10x = 16 + -14 + -8x Combine like terms: 16 + -14 = 2 -10 + -10x = 2 + -8x Solving -10 + -10x = 2 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -10 + -10x + 8x = 2 + -8x + 8x Combine like terms: -10x + 8x = -2x -10 + -2x = 2 + -8x + 8x Combine like terms: -8x + 8x = 0 -10 + -2x = 2 + 0 -10 + -2x = 2 Add '10' to each side of the equation. -10 + 10 + -2x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = 2 + 10 -2x = 2 + 10 Combine like terms: 2 + 10 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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