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Simplifying 2(x + 3) * 3 + 73 = 5(x + -12) + -23 Reorder the terms: 2(3 + x) * 3 + 73 = 5(x + -12) + -23 Reorder the terms for easier multiplication: 2 * 3(3 + x) + 73 = 5(x + -12) + -23 Multiply 2 * 3 6(3 + x) + 73 = 5(x + -12) + -23 (3 * 6 + x * 6) + 73 = 5(x + -12) + -23 (18 + 6x) + 73 = 5(x + -12) + -23 Reorder the terms: 18 + 73 + 6x = 5(x + -12) + -23 Combine like terms: 18 + 73 = 91 91 + 6x = 5(x + -12) + -23 Reorder the terms: 91 + 6x = 5(-12 + x) + -23 91 + 6x = (-12 * 5 + x * 5) + -23 91 + 6x = (-60 + 5x) + -23 Reorder the terms: 91 + 6x = -60 + -23 + 5x Combine like terms: -60 + -23 = -83 91 + 6x = -83 + 5x Solving 91 + 6x = -83 + 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. 91 + 6x + -5x = -83 + 5x + -5x Combine like terms: 6x + -5x = 1x 91 + 1x = -83 + 5x + -5x Combine like terms: 5x + -5x = 0 91 + 1x = -83 + 0 91 + 1x = -83 Add '-91' to each side of the equation. 91 + -91 + 1x = -83 + -91 Combine like terms: 91 + -91 = 0 0 + 1x = -83 + -91 1x = -83 + -91 Combine like terms: -83 + -91 = -174 1x = -174 Divide each side by '1'. x = -174 Simplifying x = -174
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