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Simplifying 7(4 + -1x) + 3 = 6x + -9 + x (4 * 7 + -1x * 7) + 3 = 6x + -9 + x (28 + -7x) + 3 = 6x + -9 + x Reorder the terms: 28 + 3 + -7x = 6x + -9 + x Combine like terms: 28 + 3 = 31 31 + -7x = 6x + -9 + x Reorder the terms: 31 + -7x = -9 + 6x + x Combine like terms: 6x + x = 7x 31 + -7x = -9 + 7x Solving 31 + -7x = -9 + 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. 31 + -7x + -7x = -9 + 7x + -7x Combine like terms: -7x + -7x = -14x 31 + -14x = -9 + 7x + -7x Combine like terms: 7x + -7x = 0 31 + -14x = -9 + 0 31 + -14x = -9 Add '-31' to each side of the equation. 31 + -31 + -14x = -9 + -31 Combine like terms: 31 + -31 = 0 0 + -14x = -9 + -31 -14x = -9 + -31 Combine like terms: -9 + -31 = -40 -14x = -40 Divide each side by '-14'. x = 2.857142857 Simplifying x = 2.857142857
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