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Simplifying 2(x + 2) + -6 = 3x + -19 Reorder the terms: 2(2 + x) + -6 = 3x + -19 (2 * 2 + x * 2) + -6 = 3x + -19 (4 + 2x) + -6 = 3x + -19 Reorder the terms: 4 + -6 + 2x = 3x + -19 Combine like terms: 4 + -6 = -2 -2 + 2x = 3x + -19 Reorder the terms: -2 + 2x = -19 + 3x Solving -2 + 2x = -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. -2 + 2x + -3x = -19 + 3x + -3x Combine like terms: 2x + -3x = -1x -2 + -1x = -19 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -1x = -19 + 0 -2 + -1x = -19 Add '2' to each side of the equation. -2 + 2 + -1x = -19 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -19 + 2 -1x = -19 + 2 Combine like terms: -19 + 2 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17
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