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Simplifying 5(x + -9) + 3x = 43 + -1x Reorder the terms: 5(-9 + x) + 3x = 43 + -1x (-9 * 5 + x * 5) + 3x = 43 + -1x (-45 + 5x) + 3x = 43 + -1x Combine like terms: 5x + 3x = 8x -45 + 8x = 43 + -1x Solving -45 + 8x = 43 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -45 + 8x + x = 43 + -1x + x Combine like terms: 8x + x = 9x -45 + 9x = 43 + -1x + x Combine like terms: -1x + x = 0 -45 + 9x = 43 + 0 -45 + 9x = 43 Add '45' to each side of the equation. -45 + 45 + 9x = 43 + 45 Combine like terms: -45 + 45 = 0 0 + 9x = 43 + 45 9x = 43 + 45 Combine like terms: 43 + 45 = 88 9x = 88 Divide each side by '9'. x = 9.777777778 Simplifying x = 9.777777778
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