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Simplifying -3(2x + 7) = 5(-3x + 3) Reorder the terms: -3(7 + 2x) = 5(-3x + 3) (7 * -3 + 2x * -3) = 5(-3x + 3) (-21 + -6x) = 5(-3x + 3) Reorder the terms: -21 + -6x = 5(3 + -3x) -21 + -6x = (3 * 5 + -3x * 5) -21 + -6x = (15 + -15x) Solving -21 + -6x = 15 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -21 + -6x + 15x = 15 + -15x + 15x Combine like terms: -6x + 15x = 9x -21 + 9x = 15 + -15x + 15x Combine like terms: -15x + 15x = 0 -21 + 9x = 15 + 0 -21 + 9x = 15 Add '21' to each side of the equation. -21 + 21 + 9x = 15 + 21 Combine like terms: -21 + 21 = 0 0 + 9x = 15 + 21 9x = 15 + 21 Combine like terms: 15 + 21 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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