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Simplifying -8x + -19 = -6(2x + 4) + 5x Reorder the terms: -19 + -8x = -6(2x + 4) + 5x Reorder the terms: -19 + -8x = -6(4 + 2x) + 5x -19 + -8x = (4 * -6 + 2x * -6) + 5x -19 + -8x = (-24 + -12x) + 5x Combine like terms: -12x + 5x = -7x -19 + -8x = -24 + -7x Solving -19 + -8x = -24 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -19 + -8x + 7x = -24 + -7x + 7x Combine like terms: -8x + 7x = -1x -19 + -1x = -24 + -7x + 7x Combine like terms: -7x + 7x = 0 -19 + -1x = -24 + 0 -19 + -1x = -24 Add '19' to each side of the equation. -19 + 19 + -1x = -24 + 19 Combine like terms: -19 + 19 = 0 0 + -1x = -24 + 19 -1x = -24 + 19 Combine like terms: -24 + 19 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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