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Simplifying 32x + -28 = 6(5x + -4) Reorder the terms: -28 + 32x = 6(5x + -4) Reorder the terms: -28 + 32x = 6(-4 + 5x) -28 + 32x = (-4 * 6 + 5x * 6) -28 + 32x = (-24 + 30x) Solving -28 + 32x = -24 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -28 + 32x + -30x = -24 + 30x + -30x Combine like terms: 32x + -30x = 2x -28 + 2x = -24 + 30x + -30x Combine like terms: 30x + -30x = 0 -28 + 2x = -24 + 0 -28 + 2x = -24 Add '28' to each side of the equation. -28 + 28 + 2x = -24 + 28 Combine like terms: -28 + 28 = 0 0 + 2x = -24 + 28 2x = -24 + 28 Combine like terms: -24 + 28 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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