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Simplifying 14(2x + -4) = 6(2x + -2) Reorder the terms: 14(-4 + 2x) = 6(2x + -2) (-4 * 14 + 2x * 14) = 6(2x + -2) (-56 + 28x) = 6(2x + -2) Reorder the terms: -56 + 28x = 6(-2 + 2x) -56 + 28x = (-2 * 6 + 2x * 6) -56 + 28x = (-12 + 12x) Solving -56 + 28x = -12 + 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. -56 + 28x + -12x = -12 + 12x + -12x Combine like terms: 28x + -12x = 16x -56 + 16x = -12 + 12x + -12x Combine like terms: 12x + -12x = 0 -56 + 16x = -12 + 0 -56 + 16x = -12 Add '56' to each side of the equation. -56 + 56 + 16x = -12 + 56 Combine like terms: -56 + 56 = 0 0 + 16x = -12 + 56 16x = -12 + 56 Combine like terms: -12 + 56 = 44 16x = 44 Divide each side by '16'. x = 2.75 Simplifying x = 2.75
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