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Simplifying 5x + -1(x + 4) = 10 + -2(x + 8) Reorder the terms: 5x + -1(4 + x) = 10 + -2(x + 8) 5x + (4 * -1 + x * -1) = 10 + -2(x + 8) 5x + (-4 + -1x) = 10 + -2(x + 8) Reorder the terms: -4 + 5x + -1x = 10 + -2(x + 8) Combine like terms: 5x + -1x = 4x -4 + 4x = 10 + -2(x + 8) Reorder the terms: -4 + 4x = 10 + -2(8 + x) -4 + 4x = 10 + (8 * -2 + x * -2) -4 + 4x = 10 + (-16 + -2x) Combine like terms: 10 + -16 = -6 -4 + 4x = -6 + -2x Solving -4 + 4x = -6 + -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. -4 + 4x + 2x = -6 + -2x + 2x Combine like terms: 4x + 2x = 6x -4 + 6x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + 6x = -6 + 0 -4 + 6x = -6 Add '4' to each side of the equation. -4 + 4 + 6x = -6 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = -6 + 4 6x = -6 + 4 Combine like terms: -6 + 4 = -2 6x = -2 Divide each side by '6'. x = -0.3333333333 Simplifying x = -0.3333333333
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