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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 = -12x 8 + -12x = 12 + 16x + -16x Combine like terms: 16x + -16x = 0 8 + -12x = 12 + 0 8 + -12x = 12 Add '-8' to each side of the equation. 8 + -8 + -12x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -12x = 12 + -8 -12x = 12 + -8 Combine like terms: 12 + -8 = 4 -12x = 4 Divide each side by '-12'. x = -0.3333333333 Simplifying x = -0.3333333333
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