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Simplifying 5(x + -2) + -2(4x + -3) + -1(x + 4) = -8 Reorder the terms: 5(-2 + x) + -2(4x + -3) + -1(x + 4) = -8 (-2 * 5 + x * 5) + -2(4x + -3) + -1(x + 4) = -8 (-10 + 5x) + -2(4x + -3) + -1(x + 4) = -8 Reorder the terms: -10 + 5x + -2(-3 + 4x) + -1(x + 4) = -8 -10 + 5x + (-3 * -2 + 4x * -2) + -1(x + 4) = -8 -10 + 5x + (6 + -8x) + -1(x + 4) = -8 Reorder the terms: -10 + 5x + 6 + -8x + -1(4 + x) = -8 -10 + 5x + 6 + -8x + (4 * -1 + x * -1) = -8 -10 + 5x + 6 + -8x + (-4 + -1x) = -8 Reorder the terms: -10 + 6 + -4 + 5x + -8x + -1x = -8 Combine like terms: -10 + 6 = -4 -4 + -4 + 5x + -8x + -1x = -8 Combine like terms: -4 + -4 = -8 -8 + 5x + -8x + -1x = -8 Combine like terms: 5x + -8x = -3x -8 + -3x + -1x = -8 Combine like terms: -3x + -1x = -4x -8 + -4x = -8 Add '8' to each side of the equation. -8 + 8 + -4x = -8 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = -8 + 8 -4x = -8 + 8 Combine like terms: -8 + 8 = 0 -4x = 0 Solving -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-4'. x = 0 Simplifying x = 0
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