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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 = -36 -36 + 8x + -5x = -20 + x Combine like terms: 8x + -5x = 3x -36 + 3x = -20 + x Solving -36 + 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. -36 + 3x + -1x = -20 + x + -1x Combine like terms: 3x + -1x = 2x -36 + 2x = -20 + x + -1x Combine like terms: x + -1x = 0 -36 + 2x = -20 + 0 -36 + 2x = -20 Add '36' to each side of the equation. -36 + 36 + 2x = -20 + 36 Combine like terms: -36 + 36 = 0 0 + 2x = -20 + 36 2x = -20 + 36 Combine like terms: -20 + 36 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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