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Simplifying 8 + -5(2 + -1x) = 5 + 3(x + -4) 8 + (2 * -5 + -1x * -5) = 5 + 3(x + -4) 8 + (-10 + 5x) = 5 + 3(x + -4) Combine like terms: 8 + -10 = -2 -2 + 5x = 5 + 3(x + -4) Reorder the terms: -2 + 5x = 5 + 3(-4 + x) -2 + 5x = 5 + (-4 * 3 + x * 3) -2 + 5x = 5 + (-12 + 3x) Combine like terms: 5 + -12 = -7 -2 + 5x = -7 + 3x Solving -2 + 5x = -7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + 5x + -3x = -7 + 3x + -3x Combine like terms: 5x + -3x = 2x -2 + 2x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 2x = -7 + 0 -2 + 2x = -7 Add '2' to each side of the equation. -2 + 2 + 2x = -7 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = -7 + 2 2x = -7 + 2 Combine like terms: -7 + 2 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5
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