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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 = 16 16 + 6x + 4x = 4(x + -2) Combine like terms: 6x + 4x = 10x 16 + 10x = 4(x + -2) Reorder the terms: 16 + 10x = 4(-2 + x) 16 + 10x = (-2 * 4 + x * 4) 16 + 10x = (-8 + 4x) Solving 16 + 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. 16 + 10x + -4x = -8 + 4x + -4x Combine like terms: 10x + -4x = 6x 16 + 6x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 16 + 6x = -8 + 0 16 + 6x = -8 Add '-16' to each side of the equation. 16 + -16 + 6x = -8 + -16 Combine like terms: 16 + -16 = 0 0 + 6x = -8 + -16 6x = -8 + -16 Combine like terms: -8 + -16 = -24 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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