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Simplifying 4x + -3(3x + -7) = 3(3x + -9) + 5x Reorder the terms: 4x + -3(-7 + 3x) = 3(3x + -9) + 5x 4x + (-7 * -3 + 3x * -3) = 3(3x + -9) + 5x 4x + (21 + -9x) = 3(3x + -9) + 5x Reorder the terms: 21 + 4x + -9x = 3(3x + -9) + 5x Combine like terms: 4x + -9x = -5x 21 + -5x = 3(3x + -9) + 5x Reorder the terms: 21 + -5x = 3(-9 + 3x) + 5x 21 + -5x = (-9 * 3 + 3x * 3) + 5x 21 + -5x = (-27 + 9x) + 5x Combine like terms: 9x + 5x = 14x 21 + -5x = -27 + 14x Solving 21 + -5x = -27 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 21 + -5x + -14x = -27 + 14x + -14x Combine like terms: -5x + -14x = -19x 21 + -19x = -27 + 14x + -14x Combine like terms: 14x + -14x = 0 21 + -19x = -27 + 0 21 + -19x = -27 Add '-21' to each side of the equation. 21 + -21 + -19x = -27 + -21 Combine like terms: 21 + -21 = 0 0 + -19x = -27 + -21 -19x = -27 + -21 Combine like terms: -27 + -21 = -48 -19x = -48 Divide each side by '-19'. x = 2.526315789 Simplifying x = 2.526315789
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