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Simplifying 2(3x + 2) + 4(x + 5) = 4(x + -2) Reorder the terms: 2(2 + 3x) + 4(x + 5) = 4(x + -2) (2 * 2 + 3x * 2) + 4(x + 5) = 4(x + -2) (4 + 6x) + 4(x + 5) = 4(x + -2) Reorder the terms: 4 + 6x + 4(5 + x) = 4(x + -2) 4 + 6x + (5 * 4 + x * 4) = 4(x + -2) 4 + 6x + (20 + 4x) = 4(x + -2) Reorder the terms: 4 + 20 + 6x + 4x = 4(x + -2) Combine like terms: 4 + 20 = 24 24 + 6x + 4x = 4(x + -2) Combine like terms: 6x + 4x = 10x 24 + 10x = 4(x + -2) Reorder the terms: 24 + 10x = 4(-2 + x) 24 + 10x = (-2 * 4 + x * 4) 24 + 10x = (-8 + 4x) Solving 24 + 10x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 24 + 10x + -4x = -8 + 4x + -4x Combine like terms: 10x + -4x = 6x 24 + 6x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + 6x = -8 + 0 24 + 6x = -8 Add '-24' to each side of the equation. 24 + -24 + 6x = -8 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = -8 + -24 6x = -8 + -24 Combine like terms: -8 + -24 = -32 6x = -32 Divide each side by '6'. x = -5.333333333 Simplifying x = -5.333333333
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