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Simplifying 7x + -2(2 + -3x) = 5(x + -5) + -19 7x + (2 * -2 + -3x * -2) = 5(x + -5) + -19 7x + (-4 + 6x) = 5(x + -5) + -19 Reorder the terms: -4 + 7x + 6x = 5(x + -5) + -19 Combine like terms: 7x + 6x = 13x -4 + 13x = 5(x + -5) + -19 Reorder the terms: -4 + 13x = 5(-5 + x) + -19 -4 + 13x = (-5 * 5 + x * 5) + -19 -4 + 13x = (-25 + 5x) + -19 Reorder the terms: -4 + 13x = -25 + -19 + 5x Combine like terms: -25 + -19 = -44 -4 + 13x = -44 + 5x Solving -4 + 13x = -44 + 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. -4 + 13x + -5x = -44 + 5x + -5x Combine like terms: 13x + -5x = 8x -4 + 8x = -44 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 8x = -44 + 0 -4 + 8x = -44 Add '4' to each side of the equation. -4 + 4 + 8x = -44 + 4 Combine like terms: -4 + 4 = 0 0 + 8x = -44 + 4 8x = -44 + 4 Combine like terms: -44 + 4 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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