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Simplifying 3x + -1(8 + -3x + 3) = x + 19 Reorder the terms: 3x + -1(8 + 3 + -3x) = x + 19 Combine like terms: 8 + 3 = 11 3x + -1(11 + -3x) = x + 19 3x + (11 * -1 + -3x * -1) = x + 19 3x + (-11 + 3x) = x + 19 Reorder the terms: -11 + 3x + 3x = x + 19 Combine like terms: 3x + 3x = 6x -11 + 6x = x + 19 Reorder the terms: -11 + 6x = 19 + x Solving -11 + 6x = 19 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -11 + 6x + -1x = 19 + x + -1x Combine like terms: 6x + -1x = 5x -11 + 5x = 19 + x + -1x Combine like terms: x + -1x = 0 -11 + 5x = 19 + 0 -11 + 5x = 19 Add '11' to each side of the equation. -11 + 11 + 5x = 19 + 11 Combine like terms: -11 + 11 = 0 0 + 5x = 19 + 11 5x = 19 + 11 Combine like terms: 19 + 11 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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