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Simplifying 5(-1x + 3) + -2 = 9x + 7 Reorder the terms: 5(3 + -1x) + -2 = 9x + 7 (3 * 5 + -1x * 5) + -2 = 9x + 7 (15 + -5x) + -2 = 9x + 7 Reorder the terms: 15 + -2 + -5x = 9x + 7 Combine like terms: 15 + -2 = 13 13 + -5x = 9x + 7 Reorder the terms: 13 + -5x = 7 + 9x Solving 13 + -5x = 7 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 13 + -5x + -9x = 7 + 9x + -9x Combine like terms: -5x + -9x = -14x 13 + -14x = 7 + 9x + -9x Combine like terms: 9x + -9x = 0 13 + -14x = 7 + 0 13 + -14x = 7 Add '-13' to each side of the equation. 13 + -13 + -14x = 7 + -13 Combine like terms: 13 + -13 = 0 0 + -14x = 7 + -13 -14x = 7 + -13 Combine like terms: 7 + -13 = -6 -14x = -6 Divide each side by '-14'. x = 0.4285714286 Simplifying x = 0.4285714286
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