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Simplifying 3x + -1(7x + -25) = 2x + 19 Reorder the terms: 3x + -1(-25 + 7x) = 2x + 19 3x + (-25 * -1 + 7x * -1) = 2x + 19 3x + (25 + -7x) = 2x + 19 Reorder the terms: 25 + 3x + -7x = 2x + 19 Combine like terms: 3x + -7x = -4x 25 + -4x = 2x + 19 Reorder the terms: 25 + -4x = 19 + 2x Solving 25 + -4x = 19 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 25 + -4x + -2x = 19 + 2x + -2x Combine like terms: -4x + -2x = -6x 25 + -6x = 19 + 2x + -2x Combine like terms: 2x + -2x = 0 25 + -6x = 19 + 0 25 + -6x = 19 Add '-25' to each side of the equation. 25 + -25 + -6x = 19 + -25 Combine like terms: 25 + -25 = 0 0 + -6x = 19 + -25 -6x = 19 + -25 Combine like terms: 19 + -25 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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