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Simplifying -5(x + -2) + -2(x + 4) = -8(x + -3) Reorder the terms: -5(-2 + x) + -2(x + 4) = -8(x + -3) (-2 * -5 + x * -5) + -2(x + 4) = -8(x + -3) (10 + -5x) + -2(x + 4) = -8(x + -3) Reorder the terms: 10 + -5x + -2(4 + x) = -8(x + -3) 10 + -5x + (4 * -2 + x * -2) = -8(x + -3) 10 + -5x + (-8 + -2x) = -8(x + -3) Reorder the terms: 10 + -8 + -5x + -2x = -8(x + -3) Combine like terms: 10 + -8 = 2 2 + -5x + -2x = -8(x + -3) Combine like terms: -5x + -2x = -7x 2 + -7x = -8(x + -3) Reorder the terms: 2 + -7x = -8(-3 + x) 2 + -7x = (-3 * -8 + x * -8) 2 + -7x = (24 + -8x) Solving 2 + -7x = 24 + -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. 2 + -7x + 8x = 24 + -8x + 8x Combine like terms: -7x + 8x = 1x 2 + 1x = 24 + -8x + 8x Combine like terms: -8x + 8x = 0 2 + 1x = 24 + 0 2 + 1x = 24 Add '-2' to each side of the equation. 2 + -2 + 1x = 24 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 24 + -2 1x = 24 + -2 Combine like terms: 24 + -2 = 22 1x = 22 Divide each side by '1'. x = 22 Simplifying x = 22
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