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Simplifying 2(3x + -1) + 5(x + 3) = 24 Reorder the terms: 2(-1 + 3x) + 5(x + 3) = 24 (-1 * 2 + 3x * 2) + 5(x + 3) = 24 (-2 + 6x) + 5(x + 3) = 24 Reorder the terms: -2 + 6x + 5(3 + x) = 24 -2 + 6x + (3 * 5 + x * 5) = 24 -2 + 6x + (15 + 5x) = 24 Reorder the terms: -2 + 15 + 6x + 5x = 24 Combine like terms: -2 + 15 = 13 13 + 6x + 5x = 24 Combine like terms: 6x + 5x = 11x 13 + 11x = 24 Solving 13 + 11x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 11x = 24 + -13 Combine like terms: 13 + -13 = 0 0 + 11x = 24 + -13 11x = 24 + -13 Combine like terms: 24 + -13 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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