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Simplifying 8(x + -2) + -5(x + -4) = 20 + x Reorder the terms: 8(-2 + x) + -5(x + -4) = 20 + x (-2 * 8 + x * 8) + -5(x + -4) = 20 + x (-16 + 8x) + -5(x + -4) = 20 + x Reorder the terms: -16 + 8x + -5(-4 + x) = 20 + x -16 + 8x + (-4 * -5 + x * -5) = 20 + x -16 + 8x + (20 + -5x) = 20 + x Reorder the terms: -16 + 20 + 8x + -5x = 20 + x Combine like terms: -16 + 20 = 4 4 + 8x + -5x = 20 + x Combine like terms: 8x + -5x = 3x 4 + 3x = 20 + x Solving 4 + 3x = 20 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4 + 3x + -1x = 20 + x + -1x Combine like terms: 3x + -1x = 2x 4 + 2x = 20 + x + -1x Combine like terms: x + -1x = 0 4 + 2x = 20 + 0 4 + 2x = 20 Add '-4' to each side of the equation. 4 + -4 + 2x = 20 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 20 + -4 2x = 20 + -4 Combine like terms: 20 + -4 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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