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Simplifying 4(5x + -7) = 6(x + 7) Reorder the terms: 4(-7 + 5x) = 6(x + 7) (-7 * 4 + 5x * 4) = 6(x + 7) (-28 + 20x) = 6(x + 7) Reorder the terms: -28 + 20x = 6(7 + x) -28 + 20x = (7 * 6 + x * 6) -28 + 20x = (42 + 6x) Solving -28 + 20x = 42 + 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. -28 + 20x + -6x = 42 + 6x + -6x Combine like terms: 20x + -6x = 14x -28 + 14x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 -28 + 14x = 42 + 0 -28 + 14x = 42 Add '28' to each side of the equation. -28 + 28 + 14x = 42 + 28 Combine like terms: -28 + 28 = 0 0 + 14x = 42 + 28 14x = 42 + 28 Combine like terms: 42 + 28 = 70 14x = 70 Divide each side by '14'. x = 5 Simplifying x = 5
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