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Simplifying 4x + 19 = 2(3x + 11) + -1x Reorder the terms: 19 + 4x = 2(3x + 11) + -1x Reorder the terms: 19 + 4x = 2(11 + 3x) + -1x 19 + 4x = (11 * 2 + 3x * 2) + -1x 19 + 4x = (22 + 6x) + -1x Combine like terms: 6x + -1x = 5x 19 + 4x = 22 + 5x Solving 19 + 4x = 22 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 19 + 4x + -5x = 22 + 5x + -5x Combine like terms: 4x + -5x = -1x 19 + -1x = 22 + 5x + -5x Combine like terms: 5x + -5x = 0 19 + -1x = 22 + 0 19 + -1x = 22 Add '-19' to each side of the equation. 19 + -19 + -1x = 22 + -19 Combine like terms: 19 + -19 = 0 0 + -1x = 22 + -19 -1x = 22 + -19 Combine like terms: 22 + -19 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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