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Simplifying 5(x + -1) = -9(x + 3) + 40 Reorder the terms: 5(-1 + x) = -9(x + 3) + 40 (-1 * 5 + x * 5) = -9(x + 3) + 40 (-5 + 5x) = -9(x + 3) + 40 Reorder the terms: -5 + 5x = -9(3 + x) + 40 -5 + 5x = (3 * -9 + x * -9) + 40 -5 + 5x = (-27 + -9x) + 40 Reorder the terms: -5 + 5x = -27 + 40 + -9x Combine like terms: -27 + 40 = 13 -5 + 5x = 13 + -9x Solving -5 + 5x = 13 + -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. -5 + 5x + 9x = 13 + -9x + 9x Combine like terms: 5x + 9x = 14x -5 + 14x = 13 + -9x + 9x Combine like terms: -9x + 9x = 0 -5 + 14x = 13 + 0 -5 + 14x = 13 Add '5' to each side of the equation. -5 + 5 + 14x = 13 + 5 Combine like terms: -5 + 5 = 0 0 + 14x = 13 + 5 14x = 13 + 5 Combine like terms: 13 + 5 = 18 14x = 18 Divide each side by '14'. x = 1.285714286 Simplifying x = 1.285714286
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