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Simplifying 72 + -2(3x + 1) = 5(x + -3) + -5 Reorder the terms: 72 + -2(1 + 3x) = 5(x + -3) + -5 72 + (1 * -2 + 3x * -2) = 5(x + -3) + -5 72 + (-2 + -6x) = 5(x + -3) + -5 Combine like terms: 72 + -2 = 70 70 + -6x = 5(x + -3) + -5 Reorder the terms: 70 + -6x = 5(-3 + x) + -5 70 + -6x = (-3 * 5 + x * 5) + -5 70 + -6x = (-15 + 5x) + -5 Reorder the terms: 70 + -6x = -15 + -5 + 5x Combine like terms: -15 + -5 = -20 70 + -6x = -20 + 5x Solving 70 + -6x = -20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 70 + -6x + -5x = -20 + 5x + -5x Combine like terms: -6x + -5x = -11x 70 + -11x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 70 + -11x = -20 + 0 70 + -11x = -20 Add '-70' to each side of the equation. 70 + -70 + -11x = -20 + -70 Combine like terms: 70 + -70 = 0 0 + -11x = -20 + -70 -11x = -20 + -70 Combine like terms: -20 + -70 = -90 -11x = -90 Divide each side by '-11'. x = 8.181818182 Simplifying x = 8.181818182
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