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Simplifying 0.75(8x + -4) + -2(5x + -6) = -5x + -10 Reorder the terms: 0.75(-4 + 8x) + -2(5x + -6) = -5x + -10 (-4 * 0.75 + 8x * 0.75) + -2(5x + -6) = -5x + -10 (-3 + 6x) + -2(5x + -6) = -5x + -10 Reorder the terms: -3 + 6x + -2(-6 + 5x) = -5x + -10 -3 + 6x + (-6 * -2 + 5x * -2) = -5x + -10 -3 + 6x + (12 + -10x) = -5x + -10 Reorder the terms: -3 + 12 + 6x + -10x = -5x + -10 Combine like terms: -3 + 12 = 9 9 + 6x + -10x = -5x + -10 Combine like terms: 6x + -10x = -4x 9 + -4x = -5x + -10 Reorder the terms: 9 + -4x = -10 + -5x Solving 9 + -4x = -10 + -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. 9 + -4x + 5x = -10 + -5x + 5x Combine like terms: -4x + 5x = 1x 9 + 1x = -10 + -5x + 5x Combine like terms: -5x + 5x = 0 9 + 1x = -10 + 0 9 + 1x = -10 Add '-9' to each side of the equation. 9 + -9 + 1x = -10 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = -10 + -9 1x = -10 + -9 Combine like terms: -10 + -9 = -19 1x = -19 Divide each side by '1'. x = -19 Simplifying x = -19
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