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Simplifying -2(2x + -3) + -5 = 9(x + -2) Reorder the terms: -2(-3 + 2x) + -5 = 9(x + -2) (-3 * -2 + 2x * -2) + -5 = 9(x + -2) (6 + -4x) + -5 = 9(x + -2) Reorder the terms: 6 + -5 + -4x = 9(x + -2) Combine like terms: 6 + -5 = 1 1 + -4x = 9(x + -2) Reorder the terms: 1 + -4x = 9(-2 + x) 1 + -4x = (-2 * 9 + x * 9) 1 + -4x = (-18 + 9x) Solving 1 + -4x = -18 + 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. 1 + -4x + -9x = -18 + 9x + -9x Combine like terms: -4x + -9x = -13x 1 + -13x = -18 + 9x + -9x Combine like terms: 9x + -9x = 0 1 + -13x = -18 + 0 1 + -13x = -18 Add '-1' to each side of the equation. 1 + -1 + -13x = -18 + -1 Combine like terms: 1 + -1 = 0 0 + -13x = -18 + -1 -13x = -18 + -1 Combine like terms: -18 + -1 = -19 -13x = -19 Divide each side by '-13'. x = 1.461538462 Simplifying x = 1.461538462
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