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Simplifying -4(x + 2) = 6x + 10x + 12 Reorder the terms: -4(2 + x) = 6x + 10x + 12 (2 * -4 + x * -4) = 6x + 10x + 12 (-8 + -4x) = 6x + 10x + 12 Reorder the terms: -8 + -4x = 12 + 6x + 10x Combine like terms: 6x + 10x = 16x -8 + -4x = 12 + 16x Solving -8 + -4x = 12 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -8 + -4x + -16x = 12 + 16x + -16x Combine like terms: -4x + -16x = -20x -8 + -20x = 12 + 16x + -16x Combine like terms: 16x + -16x = 0 -8 + -20x = 12 + 0 -8 + -20x = 12 Add '8' to each side of the equation. -8 + 8 + -20x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -20x = 12 + 8 -20x = 12 + 8 Combine like terms: 12 + 8 = 20 -20x = 20 Divide each side by '-20'. x = -1 Simplifying x = -1
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