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Simplifying 4(5x + 7) + -3x = (4x + -9) Reorder the terms: 4(7 + 5x) + -3x = (4x + -9) (7 * 4 + 5x * 4) + -3x = (4x + -9) (28 + 20x) + -3x = (4x + -9) Combine like terms: 20x + -3x = 17x 28 + 17x = (4x + -9) Reorder the terms: 28 + 17x = (-9 + 4x) Remove parenthesis around (-9 + 4x) 28 + 17x = -9 + 4x Solving 28 + 17x = -9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 28 + 17x + -4x = -9 + 4x + -4x Combine like terms: 17x + -4x = 13x 28 + 13x = -9 + 4x + -4x Combine like terms: 4x + -4x = 0 28 + 13x = -9 + 0 28 + 13x = -9 Add '-28' to each side of the equation. 28 + -28 + 13x = -9 + -28 Combine like terms: 28 + -28 = 0 0 + 13x = -9 + -28 13x = -9 + -28 Combine like terms: -9 + -28 = -37 13x = -37 Divide each side by '13'. x = -2.846153846 Simplifying x = -2.846153846
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