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Simplifying 5(2x + -4) + -4(3x + -2) + -8x = 1 Reorder the terms: 5(-4 + 2x) + -4(3x + -2) + -8x = 1 (-4 * 5 + 2x * 5) + -4(3x + -2) + -8x = 1 (-20 + 10x) + -4(3x + -2) + -8x = 1 Reorder the terms: -20 + 10x + -4(-2 + 3x) + -8x = 1 -20 + 10x + (-2 * -4 + 3x * -4) + -8x = 1 -20 + 10x + (8 + -12x) + -8x = 1 Reorder the terms: -20 + 8 + 10x + -12x + -8x = 1 Combine like terms: -20 + 8 = -12 -12 + 10x + -12x + -8x = 1 Combine like terms: 10x + -12x = -2x -12 + -2x + -8x = 1 Combine like terms: -2x + -8x = -10x -12 + -10x = 1 Solving -12 + -10x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -10x = 1 + 12 Combine like terms: -12 + 12 = 0 0 + -10x = 1 + 12 -10x = 1 + 12 Combine like terms: 1 + 12 = 13 -10x = 13 Divide each side by '-10'. x = -1.3 Simplifying x = -1.3
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