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Simplifying -9(4x + -5) + 3 = -4 + -5 + -6x + -13 Reorder the terms: -9(-5 + 4x) + 3 = -4 + -5 + -6x + -13 (-5 * -9 + 4x * -9) + 3 = -4 + -5 + -6x + -13 (45 + -36x) + 3 = -4 + -5 + -6x + -13 Reorder the terms: 45 + 3 + -36x = -4 + -5 + -6x + -13 Combine like terms: 45 + 3 = 48 48 + -36x = -4 + -5 + -6x + -13 Reorder the terms: 48 + -36x = -4 + -5 + -13 + -6x Combine like terms: -4 + -5 = -9 48 + -36x = -9 + -13 + -6x Combine like terms: -9 + -13 = -22 48 + -36x = -22 + -6x Solving 48 + -36x = -22 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 48 + -36x + 6x = -22 + -6x + 6x Combine like terms: -36x + 6x = -30x 48 + -30x = -22 + -6x + 6x Combine like terms: -6x + 6x = 0 48 + -30x = -22 + 0 48 + -30x = -22 Add '-48' to each side of the equation. 48 + -48 + -30x = -22 + -48 Combine like terms: 48 + -48 = 0 0 + -30x = -22 + -48 -30x = -22 + -48 Combine like terms: -22 + -48 = -70 -30x = -70 Divide each side by '-30'. x = 2.333333333 Simplifying x = 2.333333333
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