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Simplifying (3x + 5) + (7x + -18) = 6x + 19 Reorder the terms: (5 + 3x) + (7x + -18) = 6x + 19 Remove parenthesis around (5 + 3x) 5 + 3x + (7x + -18) = 6x + 19 Reorder the terms: 5 + 3x + (-18 + 7x) = 6x + 19 Remove parenthesis around (-18 + 7x) 5 + 3x + -18 + 7x = 6x + 19 Reorder the terms: 5 + -18 + 3x + 7x = 6x + 19 Combine like terms: 5 + -18 = -13 -13 + 3x + 7x = 6x + 19 Combine like terms: 3x + 7x = 10x -13 + 10x = 6x + 19 Reorder the terms: -13 + 10x = 19 + 6x Solving -13 + 10x = 19 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -13 + 10x + -6x = 19 + 6x + -6x Combine like terms: 10x + -6x = 4x -13 + 4x = 19 + 6x + -6x Combine like terms: 6x + -6x = 0 -13 + 4x = 19 + 0 -13 + 4x = 19 Add '13' to each side of the equation. -13 + 13 + 4x = 19 + 13 Combine like terms: -13 + 13 = 0 0 + 4x = 19 + 13 4x = 19 + 13 Combine like terms: 19 + 13 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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