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Simplifying 5 + 9(x + -2) = 4 + -4(x + -9) Reorder the terms: 5 + 9(-2 + x) = 4 + -4(x + -9) 5 + (-2 * 9 + x * 9) = 4 + -4(x + -9) 5 + (-18 + 9x) = 4 + -4(x + -9) Combine like terms: 5 + -18 = -13 -13 + 9x = 4 + -4(x + -9) Reorder the terms: -13 + 9x = 4 + -4(-9 + x) -13 + 9x = 4 + (-9 * -4 + x * -4) -13 + 9x = 4 + (36 + -4x) Combine like terms: 4 + 36 = 40 -13 + 9x = 40 + -4x Solving -13 + 9x = 40 + -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. -13 + 9x + 4x = 40 + -4x + 4x Combine like terms: 9x + 4x = 13x -13 + 13x = 40 + -4x + 4x Combine like terms: -4x + 4x = 0 -13 + 13x = 40 + 0 -13 + 13x = 40 Add '13' to each side of the equation. -13 + 13 + 13x = 40 + 13 Combine like terms: -13 + 13 = 0 0 + 13x = 40 + 13 13x = 40 + 13 Combine like terms: 40 + 13 = 53 13x = 53 Divide each side by '13'. x = 4.076923077 Simplifying x = 4.076923077
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