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Simplifying -19 + -6x = -5(x + 5) + 1 Reorder the terms: -19 + -6x = -5(5 + x) + 1 -19 + -6x = (5 * -5 + x * -5) + 1 -19 + -6x = (-25 + -5x) + 1 Reorder the terms: -19 + -6x = -25 + 1 + -5x Combine like terms: -25 + 1 = -24 -19 + -6x = -24 + -5x Solving -19 + -6x = -24 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -19 + -6x + 5x = -24 + -5x + 5x Combine like terms: -6x + 5x = -1x -19 + -1x = -24 + -5x + 5x Combine like terms: -5x + 5x = 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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