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Simplifying -3(2 + 4x) + 5(-2x + -1) = (4x + 19) + 4x (2 * -3 + 4x * -3) + 5(-2x + -1) = (4x + 19) + 4x (-6 + -12x) + 5(-2x + -1) = (4x + 19) + 4x Reorder the terms: -6 + -12x + 5(-1 + -2x) = (4x + 19) + 4x -6 + -12x + (-1 * 5 + -2x * 5) = (4x + 19) + 4x -6 + -12x + (-5 + -10x) = (4x + 19) + 4x Reorder the terms: -6 + -5 + -12x + -10x = (4x + 19) + 4x Combine like terms: -6 + -5 = -11 -11 + -12x + -10x = (4x + 19) + 4x Combine like terms: -12x + -10x = -22x -11 + -22x = (4x + 19) + 4x Reorder the terms: -11 + -22x = (19 + 4x) + 4x Remove parenthesis around (19 + 4x) -11 + -22x = 19 + 4x + 4x Combine like terms: 4x + 4x = 8x -11 + -22x = 19 + 8x Solving -11 + -22x = 19 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -11 + -22x + -8x = 19 + 8x + -8x Combine like terms: -22x + -8x = -30x -11 + -30x = 19 + 8x + -8x Combine like terms: 8x + -8x = 0 -11 + -30x = 19 + 0 -11 + -30x = 19 Add '11' to each side of the equation. -11 + 11 + -30x = 19 + 11 Combine like terms: -11 + 11 = 0 0 + -30x = 19 + 11 -30x = 19 + 11 Combine like terms: 19 + 11 = 30 -30x = 30 Divide each side by '-30'. x = -1 Simplifying x = -1
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