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Simplifying -4(x + 14) = 2(x + 10) Reorder the terms: -4(14 + x) = 2(x + 10) (14 * -4 + x * -4) = 2(x + 10) (-56 + -4x) = 2(x + 10) Reorder the terms: -56 + -4x = 2(10 + x) -56 + -4x = (10 * 2 + x * 2) -56 + -4x = (20 + 2x) Solving -56 + -4x = 20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -56 + -4x + -2x = 20 + 2x + -2x Combine like terms: -4x + -2x = -6x -56 + -6x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 -56 + -6x = 20 + 0 -56 + -6x = 20 Add '56' to each side of the equation. -56 + 56 + -6x = 20 + 56 Combine like terms: -56 + 56 = 0 0 + -6x = 20 + 56 -6x = 20 + 56 Combine like terms: 20 + 56 = 76 -6x = 76 Divide each side by '-6'. x = -12.66666667 Simplifying x = -12.66666667
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