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Simplifying -5x + 5(3x + -7) = -19 + -6x Reorder the terms: -5x + 5(-7 + 3x) = -19 + -6x -5x + (-7 * 5 + 3x * 5) = -19 + -6x -5x + (-35 + 15x) = -19 + -6x Reorder the terms: -35 + -5x + 15x = -19 + -6x Combine like terms: -5x + 15x = 10x -35 + 10x = -19 + -6x Solving -35 + 10x = -19 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -35 + 10x + 6x = -19 + -6x + 6x Combine like terms: 10x + 6x = 16x -35 + 16x = -19 + -6x + 6x Combine like terms: -6x + 6x = 0 -35 + 16x = -19 + 0 -35 + 16x = -19 Add '35' to each side of the equation. -35 + 35 + 16x = -19 + 35 Combine like terms: -35 + 35 = 0 0 + 16x = -19 + 35 16x = -19 + 35 Combine like terms: -19 + 35 = 16 16x = 16 Divide each side by '16'. x = 1 Simplifying x = 1
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