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Simplifying 3(5x + -7) = 7(x + 3) Reorder the terms: 3(-7 + 5x) = 7(x + 3) (-7 * 3 + 5x * 3) = 7(x + 3) (-21 + 15x) = 7(x + 3) Reorder the terms: -21 + 15x = 7(3 + x) -21 + 15x = (3 * 7 + x * 7) -21 + 15x = (21 + 7x) Solving -21 + 15x = 21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -21 + 15x + -7x = 21 + 7x + -7x Combine like terms: 15x + -7x = 8x -21 + 8x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 -21 + 8x = 21 + 0 -21 + 8x = 21 Add '21' to each side of the equation. -21 + 21 + 8x = 21 + 21 Combine like terms: -21 + 21 = 0 0 + 8x = 21 + 21 8x = 21 + 21 Combine like terms: 21 + 21 = 42 8x = 42 Divide each side by '8'. x = 5.25 Simplifying x = 5.25
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