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Simplifying 3(x + -2) + -8 = -5(x + -4) Reorder the terms: 3(-2 + x) + -8 = -5(x + -4) (-2 * 3 + x * 3) + -8 = -5(x + -4) (-6 + 3x) + -8 = -5(x + -4) Reorder the terms: -6 + -8 + 3x = -5(x + -4) Combine like terms: -6 + -8 = -14 -14 + 3x = -5(x + -4) Reorder the terms: -14 + 3x = -5(-4 + x) -14 + 3x = (-4 * -5 + x * -5) -14 + 3x = (20 + -5x) Solving -14 + 3x = 20 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -14 + 3x + 5x = 20 + -5x + 5x Combine like terms: 3x + 5x = 8x -14 + 8x = 20 + -5x + 5x Combine like terms: -5x + 5x = 0 -14 + 8x = 20 + 0 -14 + 8x = 20 Add '14' to each side of the equation. -14 + 14 + 8x = 20 + 14 Combine like terms: -14 + 14 = 0 0 + 8x = 20 + 14 8x = 20 + 14 Combine like terms: 20 + 14 = 34 8x = 34 Divide each side by '8'. x = 4.25 Simplifying x = 4.25
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