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Simplifying -83 = 3x + -3(6x + 5) Reorder the terms: -83 = 3x + -3(5 + 6x) -83 = 3x + (5 * -3 + 6x * -3) -83 = 3x + (-15 + -18x) Reorder the terms: -83 = -15 + 3x + -18x Combine like terms: 3x + -18x = -15x -83 = -15 + -15x Solving -83 = -15 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -83 + 15x = -15 + -15x + 15x Combine like terms: -15x + 15x = 0 -83 + 15x = -15 + 0 -83 + 15x = -15 Add '83' to each side of the equation. -83 + 83 + 15x = -15 + 83 Combine like terms: -83 + 83 = 0 0 + 15x = -15 + 83 15x = -15 + 83 Combine like terms: -15 + 83 = 68 15x = 68 Divide each side by '15'. x = 4.533333333 Simplifying x = 4.533333333
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