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Simplifying 3(x + 7) = -3(4x + -9) + 5x Reorder the terms: 3(7 + x) = -3(4x + -9) + 5x (7 * 3 + x * 3) = -3(4x + -9) + 5x (21 + 3x) = -3(4x + -9) + 5x Reorder the terms: 21 + 3x = -3(-9 + 4x) + 5x 21 + 3x = (-9 * -3 + 4x * -3) + 5x 21 + 3x = (27 + -12x) + 5x Combine like terms: -12x + 5x = -7x 21 + 3x = 27 + -7x Solving 21 + 3x = 27 + -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 + 3x + 7x = 27 + -7x + 7x Combine like terms: 3x + 7x = 10x 21 + 10x = 27 + -7x + 7x Combine like terms: -7x + 7x = 0 21 + 10x = 27 + 0 21 + 10x = 27 Add '-21' to each side of the equation. 21 + -21 + 10x = 27 + -21 Combine like terms: 21 + -21 = 0 0 + 10x = 27 + -21 10x = 27 + -21 Combine like terms: 27 + -21 = 6 10x = 6 Divide each side by '10'. x = 0.6 Simplifying x = 0.6
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