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Simplifying -5(x + -2) + -3(x + 4) = -8x + 5(x + -3) Reorder the terms: -5(-2 + x) + -3(x + 4) = -8x + 5(x + -3) (-2 * -5 + x * -5) + -3(x + 4) = -8x + 5(x + -3) (10 + -5x) + -3(x + 4) = -8x + 5(x + -3) Reorder the terms: 10 + -5x + -3(4 + x) = -8x + 5(x + -3) 10 + -5x + (4 * -3 + x * -3) = -8x + 5(x + -3) 10 + -5x + (-12 + -3x) = -8x + 5(x + -3) Reorder the terms: 10 + -12 + -5x + -3x = -8x + 5(x + -3) Combine like terms: 10 + -12 = -2 -2 + -5x + -3x = -8x + 5(x + -3) Combine like terms: -5x + -3x = -8x -2 + -8x = -8x + 5(x + -3) Reorder the terms: -2 + -8x = -8x + 5(-3 + x) -2 + -8x = -8x + (-3 * 5 + x * 5) -2 + -8x = -8x + (-15 + 5x) Reorder the terms: -2 + -8x = -15 + -8x + 5x Combine like terms: -8x + 5x = -3x -2 + -8x = -15 + -3x Solving -2 + -8x = -15 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -2 + -8x + 3x = -15 + -3x + 3x Combine like terms: -8x + 3x = -5x -2 + -5x = -15 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + -5x = -15 + 0 -2 + -5x = -15 Add '2' to each side of the equation. -2 + 2 + -5x = -15 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = -15 + 2 -5x = -15 + 2 Combine like terms: -15 + 2 = -13 -5x = -13 Divide each side by '-5'. x = 2.6 Simplifying x = 2.6
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