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Simplifying 5(3x + -7) = 4(2x + 7) Reorder the terms: 5(-7 + 3x) = 4(2x + 7) (-7 * 5 + 3x * 5) = 4(2x + 7) (-35 + 15x) = 4(2x + 7) Reorder the terms: -35 + 15x = 4(7 + 2x) -35 + 15x = (7 * 4 + 2x * 4) -35 + 15x = (28 + 8x) Solving -35 + 15x = 28 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -35 + 15x + -8x = 28 + 8x + -8x Combine like terms: 15x + -8x = 7x -35 + 7x = 28 + 8x + -8x Combine like terms: 8x + -8x = 0 -35 + 7x = 28 + 0 -35 + 7x = 28 Add '35' to each side of the equation. -35 + 35 + 7x = 28 + 35 Combine like terms: -35 + 35 = 0 0 + 7x = 28 + 35 7x = 28 + 35 Combine like terms: 28 + 35 = 63 7x = 63 Divide each side by '7'. x = 9 Simplifying x = 9
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