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Simplifying 4x + 2(2x + -5) = (x + -3) + -1(8 + -1x) Reorder the terms: 4x + 2(-5 + 2x) = (x + -3) + -1(8 + -1x) 4x + (-5 * 2 + 2x * 2) = (x + -3) + -1(8 + -1x) 4x + (-10 + 4x) = (x + -3) + -1(8 + -1x) Reorder the terms: -10 + 4x + 4x = (x + -3) + -1(8 + -1x) Combine like terms: 4x + 4x = 8x -10 + 8x = (x + -3) + -1(8 + -1x) Reorder the terms: -10 + 8x = (-3 + x) + -1(8 + -1x) Remove parenthesis around (-3 + x) -10 + 8x = -3 + x + -1(8 + -1x) -10 + 8x = -3 + x + (8 * -1 + -1x * -1) -10 + 8x = -3 + x + (-8 + 1x) Reorder the terms: -10 + 8x = -3 + -8 + x + 1x Combine like terms: -3 + -8 = -11 -10 + 8x = -11 + x + 1x Combine like terms: x + 1x = 2x -10 + 8x = -11 + 2x Solving -10 + 8x = -11 + 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. -10 + 8x + -2x = -11 + 2x + -2x Combine like terms: 8x + -2x = 6x -10 + 6x = -11 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 6x = -11 + 0 -10 + 6x = -11 Add '10' to each side of the equation. -10 + 10 + 6x = -11 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = -11 + 10 6x = -11 + 10 Combine like terms: -11 + 10 = -1 6x = -1 Divide each side by '6'. x = -0.1666666667 Simplifying x = -0.1666666667
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