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Simplifying (8x + 13) + (3x + -10) = 12x + -6 Reorder the terms: (13 + 8x) + (3x + -10) = 12x + -6 Remove parenthesis around (13 + 8x) 13 + 8x + (3x + -10) = 12x + -6 Reorder the terms: 13 + 8x + (-10 + 3x) = 12x + -6 Remove parenthesis around (-10 + 3x) 13 + 8x + -10 + 3x = 12x + -6 Reorder the terms: 13 + -10 + 8x + 3x = 12x + -6 Combine like terms: 13 + -10 = 3 3 + 8x + 3x = 12x + -6 Combine like terms: 8x + 3x = 11x 3 + 11x = 12x + -6 Reorder the terms: 3 + 11x = -6 + 12x Solving 3 + 11x = -6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 3 + 11x + -12x = -6 + 12x + -12x Combine like terms: 11x + -12x = -1x 3 + -1x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 3 + -1x = -6 + 0 3 + -1x = -6 Add '-3' to each side of the equation. 3 + -3 + -1x = -6 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = -6 + -3 -1x = -6 + -3 Combine like terms: -6 + -3 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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