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Simplifying 4x + -14 + 4x = 6(2x + -3) + 2 Reorder the terms: -14 + 4x + 4x = 6(2x + -3) + 2 Combine like terms: 4x + 4x = 8x -14 + 8x = 6(2x + -3) + 2 Reorder the terms: -14 + 8x = 6(-3 + 2x) + 2 -14 + 8x = (-3 * 6 + 2x * 6) + 2 -14 + 8x = (-18 + 12x) + 2 Reorder the terms: -14 + 8x = -18 + 2 + 12x Combine like terms: -18 + 2 = -16 -14 + 8x = -16 + 12x Solving -14 + 8x = -16 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -14 + 8x + -12x = -16 + 12x + -12x Combine like terms: 8x + -12x = -4x -14 + -4x = -16 + 12x + -12x Combine like terms: 12x + -12x = 0 -14 + -4x = -16 + 0 -14 + -4x = -16 Add '14' to each side of the equation. -14 + 14 + -4x = -16 + 14 Combine like terms: -14 + 14 = 0 0 + -4x = -16 + 14 -4x = -16 + 14 Combine like terms: -16 + 14 = -2 -4x = -2 Divide each side by '-4'. x = 0.5 Simplifying x = 0.5
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