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Simplifying 4(2x + -8) + -10(x + -2) = -80 Reorder the terms: 4(-8 + 2x) + -10(x + -2) = -80 (-8 * 4 + 2x * 4) + -10(x + -2) = -80 (-32 + 8x) + -10(x + -2) = -80 Reorder the terms: -32 + 8x + -10(-2 + x) = -80 -32 + 8x + (-2 * -10 + x * -10) = -80 -32 + 8x + (20 + -10x) = -80 Reorder the terms: -32 + 20 + 8x + -10x = -80 Combine like terms: -32 + 20 = -12 -12 + 8x + -10x = -80 Combine like terms: 8x + -10x = -2x -12 + -2x = -80 Solving -12 + -2x = -80 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 + -2x = -80 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = -80 + 12 -2x = -80 + 12 Combine like terms: -80 + 12 = -68 -2x = -68 Divide each side by '-2'. x = 34 Simplifying x = 34
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