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Simplifying 1 + 5(x + -3) = 1 + -9(x + -4) Reorder the terms: 1 + 5(-3 + x) = 1 + -9(x + -4) 1 + (-3 * 5 + x * 5) = 1 + -9(x + -4) 1 + (-15 + 5x) = 1 + -9(x + -4) Combine like terms: 1 + -15 = -14 -14 + 5x = 1 + -9(x + -4) Reorder the terms: -14 + 5x = 1 + -9(-4 + x) -14 + 5x = 1 + (-4 * -9 + x * -9) -14 + 5x = 1 + (36 + -9x) Combine like terms: 1 + 36 = 37 -14 + 5x = 37 + -9x Solving -14 + 5x = 37 + -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. -14 + 5x + 9x = 37 + -9x + 9x Combine like terms: 5x + 9x = 14x -14 + 14x = 37 + -9x + 9x Combine like terms: -9x + 9x = 0 -14 + 14x = 37 + 0 -14 + 14x = 37 Add '14' to each side of the equation. -14 + 14 + 14x = 37 + 14 Combine like terms: -14 + 14 = 0 0 + 14x = 37 + 14 14x = 37 + 14 Combine like terms: 37 + 14 = 51 14x = 51 Divide each side by '14'. x = 3.642857143 Simplifying x = 3.642857143
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