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Simplifying X + -1(2x + 5) = -2(x + 4) + 19 Reorder the terms: X + -1(5 + 2x) = -2(x + 4) + 19 X + (5 * -1 + 2x * -1) = -2(x + 4) + 19 X + (-5 + -2x) = -2(x + 4) + 19 Reorder the terms: -5 + X + -2x = -2(x + 4) + 19 Reorder the terms: -5 + X + -2x = -2(4 + x) + 19 -5 + X + -2x = (4 * -2 + x * -2) + 19 -5 + X + -2x = (-8 + -2x) + 19 Reorder the terms: -5 + X + -2x = -8 + 19 + -2x Combine like terms: -8 + 19 = 11 -5 + X + -2x = 11 + -2x Add '2x' to each side of the equation. -5 + X + -2x + 2x = 11 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + X + 0 = 11 + -2x + 2x -5 + X = 11 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + X = 11 + 0 -5 + X = 11 Solving -5 + X = 11 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + X = 11 + 5 Combine like terms: -5 + 5 = 0 0 + X = 11 + 5 X = 11 + 5 Combine like terms: 11 + 5 = 16 X = 16 Simplifying X = 16
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