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Simplifying -4x + -1(x + 2) = 10 + 2(x + -3) Reorder the terms: -4x + -1(2 + x) = 10 + 2(x + -3) -4x + (2 * -1 + x * -1) = 10 + 2(x + -3) -4x + (-2 + -1x) = 10 + 2(x + -3) Reorder the terms: -2 + -4x + -1x = 10 + 2(x + -3) Combine like terms: -4x + -1x = -5x -2 + -5x = 10 + 2(x + -3) Reorder the terms: -2 + -5x = 10 + 2(-3 + x) -2 + -5x = 10 + (-3 * 2 + x * 2) -2 + -5x = 10 + (-6 + 2x) Combine like terms: 10 + -6 = 4 -2 + -5x = 4 + 2x Solving -2 + -5x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + -5x + -2x = 4 + 2x + -2x Combine like terms: -5x + -2x = -7x -2 + -7x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -7x = 4 + 0 -2 + -7x = 4 Add '2' to each side of the equation. -2 + 2 + -7x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = 4 + 2 -7x = 4 + 2 Combine like terms: 4 + 2 = 6 -7x = 6 Divide each side by '-7'. x = -0.8571428571 Simplifying x = -0.8571428571
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