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Simplifying 2(7x + -8) = 6(3x + -4) Reorder the terms: 2(-8 + 7x) = 6(3x + -4) (-8 * 2 + 7x * 2) = 6(3x + -4) (-16 + 14x) = 6(3x + -4) Reorder the terms: -16 + 14x = 6(-4 + 3x) -16 + 14x = (-4 * 6 + 3x * 6) -16 + 14x = (-24 + 18x) Solving -16 + 14x = -24 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -16 + 14x + -18x = -24 + 18x + -18x Combine like terms: 14x + -18x = -4x -16 + -4x = -24 + 18x + -18x Combine like terms: 18x + -18x = 0 -16 + -4x = -24 + 0 -16 + -4x = -24 Add '16' to each side of the equation. -16 + 16 + -4x = -24 + 16 Combine like terms: -16 + 16 = 0 0 + -4x = -24 + 16 -4x = -24 + 16 Combine like terms: -24 + 16 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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