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Simplifying 25 + -3x = -4(4x + 2) + -4(-5 + -3x) Reorder the terms: 25 + -3x = -4(2 + 4x) + -4(-5 + -3x) 25 + -3x = (2 * -4 + 4x * -4) + -4(-5 + -3x) 25 + -3x = (-8 + -16x) + -4(-5 + -3x) 25 + -3x = -8 + -16x + (-5 * -4 + -3x * -4) 25 + -3x = -8 + -16x + (20 + 12x) Reorder the terms: 25 + -3x = -8 + 20 + -16x + 12x Combine like terms: -8 + 20 = 12 25 + -3x = 12 + -16x + 12x Combine like terms: -16x + 12x = -4x 25 + -3x = 12 + -4x Solving 25 + -3x = 12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 25 + -3x + 4x = 12 + -4x + 4x Combine like terms: -3x + 4x = 1x 25 + 1x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 25 + 1x = 12 + 0 25 + 1x = 12 Add '-25' to each side of the equation. 25 + -25 + 1x = 12 + -25 Combine like terms: 25 + -25 = 0 0 + 1x = 12 + -25 1x = 12 + -25 Combine like terms: 12 + -25 = -13 1x = -13 Divide each side by '1'. x = -13 Simplifying x = -13
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