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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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