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Simplifying 5x + -2(3x + -7) = 3(2x + -9) + 7x Reorder the terms: 5x + -2(-7 + 3x) = 3(2x + -9) + 7x 5x + (-7 * -2 + 3x * -2) = 3(2x + -9) + 7x 5x + (14 + -6x) = 3(2x + -9) + 7x Reorder the terms: 14 + 5x + -6x = 3(2x + -9) + 7x Combine like terms: 5x + -6x = -1x 14 + -1x = 3(2x + -9) + 7x Reorder the terms: 14 + -1x = 3(-9 + 2x) + 7x 14 + -1x = (-9 * 3 + 2x * 3) + 7x 14 + -1x = (-27 + 6x) + 7x Combine like terms: 6x + 7x = 13x 14 + -1x = -27 + 13x Solving 14 + -1x = -27 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 14 + -1x + -13x = -27 + 13x + -13x Combine like terms: -1x + -13x = -14x 14 + -14x = -27 + 13x + -13x Combine like terms: 13x + -13x = 0 14 + -14x = -27 + 0 14 + -14x = -27 Add '-14' to each side of the equation. 14 + -14 + -14x = -27 + -14 Combine like terms: 14 + -14 = 0 0 + -14x = -27 + -14 -14x = -27 + -14 Combine like terms: -27 + -14 = -41 -14x = -41 Divide each side by '-14'. x = 2.928571429 Simplifying x = 2.928571429
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