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Simplifying (5x + 3) + (3x + -2) = 12x + -13 Reorder the terms: (3 + 5x) + (3x + -2) = 12x + -13 Remove parenthesis around (3 + 5x) 3 + 5x + (3x + -2) = 12x + -13 Reorder the terms: 3 + 5x + (-2 + 3x) = 12x + -13 Remove parenthesis around (-2 + 3x) 3 + 5x + -2 + 3x = 12x + -13 Reorder the terms: 3 + -2 + 5x + 3x = 12x + -13 Combine like terms: 3 + -2 = 1 1 + 5x + 3x = 12x + -13 Combine like terms: 5x + 3x = 8x 1 + 8x = 12x + -13 Reorder the terms: 1 + 8x = -13 + 12x Solving 1 + 8x = -13 + 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. 1 + 8x + -12x = -13 + 12x + -12x Combine like terms: 8x + -12x = -4x 1 + -4x = -13 + 12x + -12x Combine like terms: 12x + -12x = 0 1 + -4x = -13 + 0 1 + -4x = -13 Add '-1' to each side of the equation. 1 + -1 + -4x = -13 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = -13 + -1 -4x = -13 + -1 Combine like terms: -13 + -1 = -14 -4x = -14 Divide each side by '-4'. x = 3.5 Simplifying x = 3.5
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