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Simplifying 3(x + 2) + -1(5 + -1x) = 3x + 19 Reorder the terms: 3(2 + x) + -1(5 + -1x) = 3x + 19 (2 * 3 + x * 3) + -1(5 + -1x) = 3x + 19 (6 + 3x) + -1(5 + -1x) = 3x + 19 6 + 3x + (5 * -1 + -1x * -1) = 3x + 19 6 + 3x + (-5 + 1x) = 3x + 19 Reorder the terms: 6 + -5 + 3x + 1x = 3x + 19 Combine like terms: 6 + -5 = 1 1 + 3x + 1x = 3x + 19 Combine like terms: 3x + 1x = 4x 1 + 4x = 3x + 19 Reorder the terms: 1 + 4x = 19 + 3x Solving 1 + 4x = 19 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 1 + 4x + -3x = 19 + 3x + -3x Combine like terms: 4x + -3x = 1x 1 + 1x = 19 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + 1x = 19 + 0 1 + 1x = 19 Add '-1' to each side of the equation. 1 + -1 + 1x = 19 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 19 + -1 1x = 19 + -1 Combine like terms: 19 + -1 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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