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Simplifying 2x + -5(x + -5) = -6 + 3x + 19 Reorder the terms: 2x + -5(-5 + x) = -6 + 3x + 19 2x + (-5 * -5 + x * -5) = -6 + 3x + 19 2x + (25 + -5x) = -6 + 3x + 19 Reorder the terms: 25 + 2x + -5x = -6 + 3x + 19 Combine like terms: 2x + -5x = -3x 25 + -3x = -6 + 3x + 19 Reorder the terms: 25 + -3x = -6 + 19 + 3x Combine like terms: -6 + 19 = 13 25 + -3x = 13 + 3x Solving 25 + -3x = 13 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 25 + -3x + -3x = 13 + 3x + -3x Combine like terms: -3x + -3x = -6x 25 + -6x = 13 + 3x + -3x Combine like terms: 3x + -3x = 0 25 + -6x = 13 + 0 25 + -6x = 13 Add '-25' to each side of the equation. 25 + -25 + -6x = 13 + -25 Combine like terms: 25 + -25 = 0 0 + -6x = 13 + -25 -6x = 13 + -25 Combine like terms: 13 + -25 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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