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Simplifying -4(2 + -1x) = 7x + -1(10 + -2x) (2 * -4 + -1x * -4) = 7x + -1(10 + -2x) (-8 + 4x) = 7x + -1(10 + -2x) -8 + 4x = 7x + (10 * -1 + -2x * -1) -8 + 4x = 7x + (-10 + 2x) Reorder the terms: -8 + 4x = -10 + 7x + 2x Combine like terms: 7x + 2x = 9x -8 + 4x = -10 + 9x Solving -8 + 4x = -10 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -8 + 4x + -9x = -10 + 9x + -9x Combine like terms: 4x + -9x = -5x -8 + -5x = -10 + 9x + -9x Combine like terms: 9x + -9x = 0 -8 + -5x = -10 + 0 -8 + -5x = -10 Add '8' to each side of the equation. -8 + 8 + -5x = -10 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = -10 + 8 -5x = -10 + 8 Combine like terms: -10 + 8 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4
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