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Simplifying 2(x + 5) + 3(2x + -4) = 2(x + -2) Reorder the terms: 2(5 + x) + 3(2x + -4) = 2(x + -2) (5 * 2 + x * 2) + 3(2x + -4) = 2(x + -2) (10 + 2x) + 3(2x + -4) = 2(x + -2) Reorder the terms: 10 + 2x + 3(-4 + 2x) = 2(x + -2) 10 + 2x + (-4 * 3 + 2x * 3) = 2(x + -2) 10 + 2x + (-12 + 6x) = 2(x + -2) Reorder the terms: 10 + -12 + 2x + 6x = 2(x + -2) Combine like terms: 10 + -12 = -2 -2 + 2x + 6x = 2(x + -2) Combine like terms: 2x + 6x = 8x -2 + 8x = 2(x + -2) Reorder the terms: -2 + 8x = 2(-2 + x) -2 + 8x = (-2 * 2 + x * 2) -2 + 8x = (-4 + 2x) Solving -2 + 8x = -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 + 8x + -2x = -4 + 2x + -2x Combine like terms: 8x + -2x = 6x -2 + 6x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 6x = -4 + 0 -2 + 6x = -4 Add '2' to each side of the equation. -2 + 2 + 6x = -4 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = -4 + 2 6x = -4 + 2 Combine like terms: -4 + 2 = -2 6x = -2 Divide each side by '6'. x = -0.3333333333 Simplifying x = -0.3333333333
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