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Simplifying -1(-2x + 5) = -2(x + -4) + 19 Reorder the terms: -1(5 + -2x) = -2(x + -4) + 19 (5 * -1 + -2x * -1) = -2(x + -4) + 19 (-5 + 2x) = -2(x + -4) + 19 Reorder the terms: -5 + 2x = -2(-4 + x) + 19 -5 + 2x = (-4 * -2 + x * -2) + 19 -5 + 2x = (8 + -2x) + 19 Reorder the terms: -5 + 2x = 8 + 19 + -2x Combine like terms: 8 + 19 = 27 -5 + 2x = 27 + -2x Solving -5 + 2x = 27 + -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. -5 + 2x + 2x = 27 + -2x + 2x Combine like terms: 2x + 2x = 4x -5 + 4x = 27 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 4x = 27 + 0 -5 + 4x = 27 Add '5' to each side of the equation. -5 + 5 + 4x = 27 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 27 + 5 4x = 27 + 5 Combine like terms: 27 + 5 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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