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Simplifying 2 + 3x + -81x + 19 + 2 = 2(1x + 6) + -1(-3) + 1x Reorder the terms: 2 + 19 + 2 + 3x + -81x = 2(1x + 6) + -1(-3) + 1x Combine like terms: 2 + 19 = 21 21 + 2 + 3x + -81x = 2(1x + 6) + -1(-3) + 1x Combine like terms: 21 + 2 = 23 23 + 3x + -81x = 2(1x + 6) + -1(-3) + 1x Combine like terms: 3x + -81x = -78x 23 + -78x = 2(1x + 6) + -1(-3) + 1x Reorder the terms: 23 + -78x = 2(6 + 1x) + -1(-3) + 1x 23 + -78x = (6 * 2 + 1x * 2) + -1(-3) + 1x 23 + -78x = (12 + 2x) + -1(-3) + 1x Multiply -1 * -3 23 + -78x = 12 + 2x + 3 + 1x Reorder the terms: 23 + -78x = 12 + 3 + 2x + 1x Combine like terms: 12 + 3 = 15 23 + -78x = 15 + 2x + 1x Combine like terms: 2x + 1x = 3x 23 + -78x = 15 + 3x Solving 23 + -78x = 15 + 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. 23 + -78x + -3x = 15 + 3x + -3x Combine like terms: -78x + -3x = -81x 23 + -81x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 23 + -81x = 15 + 0 23 + -81x = 15 Add '-23' to each side of the equation. 23 + -23 + -81x = 15 + -23 Combine like terms: 23 + -23 = 0 0 + -81x = 15 + -23 -81x = 15 + -23 Combine like terms: 15 + -23 = -8 -81x = -8 Divide each side by '-81'. x = 0.0987654321 Simplifying x = 0.0987654321
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