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Simplifying 19 + -2(x + 4) = 3x + -5 + 6x Reorder the terms: 19 + -2(4 + x) = 3x + -5 + 6x 19 + (4 * -2 + x * -2) = 3x + -5 + 6x 19 + (-8 + -2x) = 3x + -5 + 6x Combine like terms: 19 + -8 = 11 11 + -2x = 3x + -5 + 6x Reorder the terms: 11 + -2x = -5 + 3x + 6x Combine like terms: 3x + 6x = 9x 11 + -2x = -5 + 9x Solving 11 + -2x = -5 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 11 + -2x + -9x = -5 + 9x + -9x Combine like terms: -2x + -9x = -11x 11 + -11x = -5 + 9x + -9x Combine like terms: 9x + -9x = 0 11 + -11x = -5 + 0 11 + -11x = -5 Add '-11' to each side of the equation. 11 + -11 + -11x = -5 + -11 Combine like terms: 11 + -11 = 0 0 + -11x = -5 + -11 -11x = -5 + -11 Combine like terms: -5 + -11 = -16 -11x = -16 Divide each side by '-11'. x = 1.454545455 Simplifying x = 1.454545455
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