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Simplifying (31x + -7) + (8x + -6) = 19x + -3 Reorder the terms: (-7 + 31x) + (8x + -6) = 19x + -3 Remove parenthesis around (-7 + 31x) -7 + 31x + (8x + -6) = 19x + -3 Reorder the terms: -7 + 31x + (-6 + 8x) = 19x + -3 Remove parenthesis around (-6 + 8x) -7 + 31x + -6 + 8x = 19x + -3 Reorder the terms: -7 + -6 + 31x + 8x = 19x + -3 Combine like terms: -7 + -6 = -13 -13 + 31x + 8x = 19x + -3 Combine like terms: 31x + 8x = 39x -13 + 39x = 19x + -3 Reorder the terms: -13 + 39x = -3 + 19x Solving -13 + 39x = -3 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -13 + 39x + -19x = -3 + 19x + -19x Combine like terms: 39x + -19x = 20x -13 + 20x = -3 + 19x + -19x Combine like terms: 19x + -19x = 0 -13 + 20x = -3 + 0 -13 + 20x = -3 Add '13' to each side of the equation. -13 + 13 + 20x = -3 + 13 Combine like terms: -13 + 13 = 0 0 + 20x = -3 + 13 20x = -3 + 13 Combine like terms: -3 + 13 = 10 20x = 10 Divide each side by '20'. x = 0.5 Simplifying x = 0.5
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