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Simplifying 7(2x + -8) = 2(3x + -4) Reorder the terms: 7(-8 + 2x) = 2(3x + -4) (-8 * 7 + 2x * 7) = 2(3x + -4) (-56 + 14x) = 2(3x + -4) Reorder the terms: -56 + 14x = 2(-4 + 3x) -56 + 14x = (-4 * 2 + 3x * 2) -56 + 14x = (-8 + 6x) Solving -56 + 14x = -8 + 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. -56 + 14x + -6x = -8 + 6x + -6x Combine like terms: 14x + -6x = 8x -56 + 8x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 -56 + 8x = -8 + 0 -56 + 8x = -8 Add '56' to each side of the equation. -56 + 56 + 8x = -8 + 56 Combine like terms: -56 + 56 = 0 0 + 8x = -8 + 56 8x = -8 + 56 Combine like terms: -8 + 56 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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