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Simplifying -5(3x + 2) + 9x = 24x + -43 + 13 Reorder the terms: -5(2 + 3x) + 9x = 24x + -43 + 13 (2 * -5 + 3x * -5) + 9x = 24x + -43 + 13 (-10 + -15x) + 9x = 24x + -43 + 13 Combine like terms: -15x + 9x = -6x -10 + -6x = 24x + -43 + 13 Reorder the terms: -10 + -6x = -43 + 13 + 24x Combine like terms: -43 + 13 = -30 -10 + -6x = -30 + 24x Solving -10 + -6x = -30 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -10 + -6x + -24x = -30 + 24x + -24x Combine like terms: -6x + -24x = -30x -10 + -30x = -30 + 24x + -24x Combine like terms: 24x + -24x = 0 -10 + -30x = -30 + 0 -10 + -30x = -30 Add '10' to each side of the equation. -10 + 10 + -30x = -30 + 10 Combine like terms: -10 + 10 = 0 0 + -30x = -30 + 10 -30x = -30 + 10 Combine like terms: -30 + 10 = -20 -30x = -20 Divide each side by '-30'. x = 0.6666666667 Simplifying x = 0.6666666667
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