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Simplifying 83 = 7x + -6(-1x + 10) Reorder the terms: 83 = 7x + -6(10 + -1x) 83 = 7x + (10 * -6 + -1x * -6) 83 = 7x + (-60 + 6x) Reorder the terms: 83 = -60 + 7x + 6x Combine like terms: 7x + 6x = 13x 83 = -60 + 13x Solving 83 = -60 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 83 + -13x = -60 + 13x + -13x Combine like terms: 13x + -13x = 0 83 + -13x = -60 + 0 83 + -13x = -60 Add '-83' to each side of the equation. 83 + -83 + -13x = -60 + -83 Combine like terms: 83 + -83 = 0 0 + -13x = -60 + -83 -13x = -60 + -83 Combine like terms: -60 + -83 = -143 -13x = -143 Divide each side by '-13'. x = 11 Simplifying x = 11
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