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Simplifying 19(2) = 6(2x + 1) + 7x + -8 Multiply 19 * 2 38 = 6(2x + 1) + 7x + -8 Reorder the terms: 38 = 6(1 + 2x) + 7x + -8 38 = (1 * 6 + 2x * 6) + 7x + -8 38 = (6 + 12x) + 7x + -8 Reorder the terms: 38 = 6 + -8 + 12x + 7x Combine like terms: 6 + -8 = -2 38 = -2 + 12x + 7x Combine like terms: 12x + 7x = 19x 38 = -2 + 19x Solving 38 = -2 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 38 + -19x = -2 + 19x + -19x Combine like terms: 19x + -19x = 0 38 + -19x = -2 + 0 38 + -19x = -2 Add '-38' to each side of the equation. 38 + -38 + -19x = -2 + -38 Combine like terms: 38 + -38 = 0 0 + -19x = -2 + -38 -19x = -2 + -38 Combine like terms: -2 + -38 = -40 -19x = -40 Divide each side by '-19'. x = 2.105263158 Simplifying x = 2.105263158
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