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Simplifying -4(x + 2) = 2(3x + -14) Reorder the terms: -4(2 + x) = 2(3x + -14) (2 * -4 + x * -4) = 2(3x + -14) (-8 + -4x) = 2(3x + -14) Reorder the terms: -8 + -4x = 2(-14 + 3x) -8 + -4x = (-14 * 2 + 3x * 2) -8 + -4x = (-28 + 6x) Solving -8 + -4x = -28 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + -4x + -6x = -28 + 6x + -6x Combine like terms: -4x + -6x = -10x -8 + -10x = -28 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -10x = -28 + 0 -8 + -10x = -28 Add '8' to each side of the equation. -8 + 8 + -10x = -28 + 8 Combine like terms: -8 + 8 = 0 0 + -10x = -28 + 8 -10x = -28 + 8 Combine like terms: -28 + 8 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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