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Simplifying 3(x + -3x) + 83 = 1x + 31 Combine like terms: x + -3x = -2x 3(-2x) + 83 = 1x + 31 Remove parenthesis around (-2x) 3 * -2x + 83 = 1x + 31 Multiply 3 * -2 -6x + 83 = 1x + 31 Reorder the terms: 83 + -6x = 1x + 31 Reorder the terms: 83 + -6x = 31 + 1x Solving 83 + -6x = 31 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 83 + -6x + -1x = 31 + 1x + -1x Combine like terms: -6x + -1x = -7x 83 + -7x = 31 + 1x + -1x Combine like terms: 1x + -1x = 0 83 + -7x = 31 + 0 83 + -7x = 31 Add '-83' to each side of the equation. 83 + -83 + -7x = 31 + -83 Combine like terms: 83 + -83 = 0 0 + -7x = 31 + -83 -7x = 31 + -83 Combine like terms: 31 + -83 = -52 -7x = -52 Divide each side by '-7'. x = 7.428571429 Simplifying x = 7.428571429
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