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Simplifying 7(2x + -4) = 6(6 + 3x) Reorder the terms: 7(-4 + 2x) = 6(6 + 3x) (-4 * 7 + 2x * 7) = 6(6 + 3x) (-28 + 14x) = 6(6 + 3x) -28 + 14x = (6 * 6 + 3x * 6) -28 + 14x = (36 + 18x) Solving -28 + 14x = 36 + 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. -28 + 14x + -18x = 36 + 18x + -18x Combine like terms: 14x + -18x = -4x -28 + -4x = 36 + 18x + -18x Combine like terms: 18x + -18x = 0 -28 + -4x = 36 + 0 -28 + -4x = 36 Add '28' to each side of the equation. -28 + 28 + -4x = 36 + 28 Combine like terms: -28 + 28 = 0 0 + -4x = 36 + 28 -4x = 36 + 28 Combine like terms: 36 + 28 = 64 -4x = 64 Divide each side by '-4'. x = -16 Simplifying x = -16
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