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Simplifying 5(3x + 1) = 2x + -9x Reorder the terms: 5(1 + 3x) = 2x + -9x (1 * 5 + 3x * 5) = 2x + -9x (5 + 15x) = 2x + -9x Combine like terms: 2x + -9x = -7x 5 + 15x = -7x Solving 5 + 15x = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 5 + 15x + 7x = -7x + 7x Combine like terms: 15x + 7x = 22x 5 + 22x = -7x + 7x Combine like terms: -7x + 7x = 0 5 + 22x = 0 Add '-5' to each side of the equation. 5 + -5 + 22x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 22x = 0 + -5 22x = 0 + -5 Combine like terms: 0 + -5 = -5 22x = -5 Divide each side by '22'. x = -0.2272727273 Simplifying x = -0.2272727273
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