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Simplifying 19 + -1x(x + 3) = 3x + -1x(x + -6) + -5 Reorder the terms: 19 + -1x(3 + x) = 3x + -1x(x + -6) + -5 19 + (3 * -1x + x * -1x) = 3x + -1x(x + -6) + -5 19 + (-3x + -1x2) = 3x + -1x(x + -6) + -5 Reorder the terms: 19 + -3x + -1x2 = 3x + -1x(-6 + x) + -5 19 + -3x + -1x2 = 3x + (-6 * -1x + x * -1x) + -5 19 + -3x + -1x2 = 3x + (6x + -1x2) + -5 Reorder the terms: 19 + -3x + -1x2 = -5 + 3x + 6x + -1x2 Combine like terms: 3x + 6x = 9x 19 + -3x + -1x2 = -5 + 9x + -1x2 Add 'x2' to each side of the equation. 19 + -3x + -1x2 + x2 = -5 + 9x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 19 + -3x + 0 = -5 + 9x + -1x2 + x2 19 + -3x = -5 + 9x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 19 + -3x = -5 + 9x + 0 19 + -3x = -5 + 9x Solving 19 + -3x = -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. 19 + -3x + -9x = -5 + 9x + -9x Combine like terms: -3x + -9x = -12x 19 + -12x = -5 + 9x + -9x Combine like terms: 9x + -9x = 0 19 + -12x = -5 + 0 19 + -12x = -5 Add '-19' to each side of the equation. 19 + -19 + -12x = -5 + -19 Combine like terms: 19 + -19 = 0 0 + -12x = -5 + -19 -12x = -5 + -19 Combine like terms: -5 + -19 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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