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Simplifying 2X(3X + 4) + -19 = X(6X + -2) + 31 Reorder the terms: 2X(4 + 3X) + -19 = X(6X + -2) + 31 (4 * 2X + 3X * 2X) + -19 = X(6X + -2) + 31 (8X + 6X2) + -19 = X(6X + -2) + 31 Reorder the terms: -19 + 8X + 6X2 = X(6X + -2) + 31 Reorder the terms: -19 + 8X + 6X2 = X(-2 + 6X) + 31 -19 + 8X + 6X2 = (-2 * X + 6X * X) + 31 -19 + 8X + 6X2 = (-2X + 6X2) + 31 Reorder the terms: -19 + 8X + 6X2 = 31 + -2X + 6X2 Add '-6X2' to each side of the equation. -19 + 8X + 6X2 + -6X2 = 31 + -2X + 6X2 + -6X2 Combine like terms: 6X2 + -6X2 = 0 -19 + 8X + 0 = 31 + -2X + 6X2 + -6X2 -19 + 8X = 31 + -2X + 6X2 + -6X2 Combine like terms: 6X2 + -6X2 = 0 -19 + 8X = 31 + -2X + 0 -19 + 8X = 31 + -2X Solving -19 + 8X = 31 + -2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '2X' to each side of the equation. -19 + 8X + 2X = 31 + -2X + 2X Combine like terms: 8X + 2X = 10X -19 + 10X = 31 + -2X + 2X Combine like terms: -2X + 2X = 0 -19 + 10X = 31 + 0 -19 + 10X = 31 Add '19' to each side of the equation. -19 + 19 + 10X = 31 + 19 Combine like terms: -19 + 19 = 0 0 + 10X = 31 + 19 10X = 31 + 19 Combine like terms: 31 + 19 = 50 10X = 50 Divide each side by '10'. X = 5 Simplifying X = 5
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