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Simplifying 4x + -14 + 2x = 3(6x + -6) + 2 Reorder the terms: -14 + 4x + 2x = 3(6x + -6) + 2 Combine like terms: 4x + 2x = 6x -14 + 6x = 3(6x + -6) + 2 Reorder the terms: -14 + 6x = 3(-6 + 6x) + 2 -14 + 6x = (-6 * 3 + 6x * 3) + 2 -14 + 6x = (-18 + 18x) + 2 Reorder the terms: -14 + 6x = -18 + 2 + 18x Combine like terms: -18 + 2 = -16 -14 + 6x = -16 + 18x Solving -14 + 6x = -16 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -14 + 6x + -18x = -16 + 18x + -18x Combine like terms: 6x + -18x = -12x -14 + -12x = -16 + 18x + -18x Combine like terms: 18x + -18x = 0 -14 + -12x = -16 + 0 -14 + -12x = -16 Add '14' to each side of the equation. -14 + 14 + -12x = -16 + 14 Combine like terms: -14 + 14 = 0 0 + -12x = -16 + 14 -12x = -16 + 14 Combine like terms: -16 + 14 = -2 -12x = -2 Divide each side by '-12'. x = 0.1666666667 Simplifying x = 0.1666666667
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