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Simplifying -4(x + 2) = 6x + 10x + 12x Reorder the terms: -4(2 + x) = 6x + 10x + 12x (2 * -4 + x * -4) = 6x + 10x + 12x (-8 + -4x) = 6x + 10x + 12x Combine like terms: 6x + 10x = 16x -8 + -4x = 16x + 12x Combine like terms: 16x + 12x = 28x -8 + -4x = 28x Solving -8 + -4x = 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -8 + -4x + -28x = 28x + -28x Combine like terms: -4x + -28x = -32x -8 + -32x = 28x + -28x Combine like terms: 28x + -28x = 0 -8 + -32x = 0 Add '8' to each side of the equation. -8 + 8 + -32x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -32x = 0 + 8 -32x = 0 + 8 Combine like terms: 0 + 8 = 8 -32x = 8 Divide each side by '-32'. x = -0.25 Simplifying x = -0.25
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