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Simplifying 4(5x + -7) = 10x + 12 Reorder the terms: 4(-7 + 5x) = 10x + 12 (-7 * 4 + 5x * 4) = 10x + 12 (-28 + 20x) = 10x + 12 Reorder the terms: -28 + 20x = 12 + 10x Solving -28 + 20x = 12 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -28 + 20x + -10x = 12 + 10x + -10x Combine like terms: 20x + -10x = 10x -28 + 10x = 12 + 10x + -10x Combine like terms: 10x + -10x = 0 -28 + 10x = 12 + 0 -28 + 10x = 12 Add '28' to each side of the equation. -28 + 28 + 10x = 12 + 28 Combine like terms: -28 + 28 = 0 0 + 10x = 12 + 28 10x = 12 + 28 Combine like terms: 12 + 28 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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