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Simplifying 7(2x + -6) + -4(5x + -8) = -5x Reorder the terms: 7(-6 + 2x) + -4(5x + -8) = -5x (-6 * 7 + 2x * 7) + -4(5x + -8) = -5x (-42 + 14x) + -4(5x + -8) = -5x Reorder the terms: -42 + 14x + -4(-8 + 5x) = -5x -42 + 14x + (-8 * -4 + 5x * -4) = -5x -42 + 14x + (32 + -20x) = -5x Reorder the terms: -42 + 32 + 14x + -20x = -5x Combine like terms: -42 + 32 = -10 -10 + 14x + -20x = -5x Combine like terms: 14x + -20x = -6x -10 + -6x = -5x Solving -10 + -6x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -10 + -6x + 5x = -5x + 5x Combine like terms: -6x + 5x = -1x -10 + -1x = -5x + 5x Combine like terms: -5x + 5x = 0 -10 + -1x = 0 Add '10' to each side of the equation. -10 + 10 + -1x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 0 + 10 -1x = 0 + 10 Combine like terms: 0 + 10 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10
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