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Simplifying -5(2x + -9) = 1 + 3x Reorder the terms: -5(-9 + 2x) = 1 + 3x (-9 * -5 + 2x * -5) = 1 + 3x (45 + -10x) = 1 + 3x Solving 45 + -10x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 45 + -10x + -3x = 1 + 3x + -3x Combine like terms: -10x + -3x = -13x 45 + -13x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 45 + -13x = 1 + 0 45 + -13x = 1 Add '-45' to each side of the equation. 45 + -45 + -13x = 1 + -45 Combine like terms: 45 + -45 = 0 0 + -13x = 1 + -45 -13x = 1 + -45 Combine like terms: 1 + -45 = -44 -13x = -44 Divide each side by '-13'. x = 3.384615385 Simplifying x = 3.384615385
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