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Simplifying 5(3x + 1) = 3(3x + -7) Reorder the terms: 5(1 + 3x) = 3(3x + -7) (1 * 5 + 3x * 5) = 3(3x + -7) (5 + 15x) = 3(3x + -7) Reorder the terms: 5 + 15x = 3(-7 + 3x) 5 + 15x = (-7 * 3 + 3x * 3) 5 + 15x = (-21 + 9x) Solving 5 + 15x = -21 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 5 + 15x + -9x = -21 + 9x + -9x Combine like terms: 15x + -9x = 6x 5 + 6x = -21 + 9x + -9x Combine like terms: 9x + -9x = 0 5 + 6x = -21 + 0 5 + 6x = -21 Add '-5' to each side of the equation. 5 + -5 + 6x = -21 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = -21 + -5 6x = -21 + -5 Combine like terms: -21 + -5 = -26 6x = -26 Divide each side by '6'. x = -4.333333333 Simplifying x = -4.333333333
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