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Simplifying (2x + -2)(6) = (14)(2x + -4) Reorder the terms: (-2 + 2x)(6) = (14)(2x + -4) Reorder the terms for easier multiplication: 6(-2 + 2x) = (14)(2x + -4) (-2 * 6 + 2x * 6) = (14)(2x + -4) (-12 + 12x) = (14)(2x + -4) Reorder the terms: -12 + 12x = 14(-4 + 2x) -12 + 12x = (-4 * 14 + 2x * 14) -12 + 12x = (-56 + 28x) Solving -12 + 12x = -56 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -12 + 12x + -28x = -56 + 28x + -28x Combine like terms: 12x + -28x = -16x -12 + -16x = -56 + 28x + -28x Combine like terms: 28x + -28x = 0 -12 + -16x = -56 + 0 -12 + -16x = -56 Add '12' to each side of the equation. -12 + 12 + -16x = -56 + 12 Combine like terms: -12 + 12 = 0 0 + -16x = -56 + 12 -16x = -56 + 12 Combine like terms: -56 + 12 = -44 -16x = -44 Divide each side by '-16'. x = 2.75 Simplifying x = 2.75
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