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Simplifying 3(2 + -3x) + -4(x + -5) = 6x + -25 (2 * 3 + -3x * 3) + -4(x + -5) = 6x + -25 (6 + -9x) + -4(x + -5) = 6x + -25 Reorder the terms: 6 + -9x + -4(-5 + x) = 6x + -25 6 + -9x + (-5 * -4 + x * -4) = 6x + -25 6 + -9x + (20 + -4x) = 6x + -25 Reorder the terms: 6 + 20 + -9x + -4x = 6x + -25 Combine like terms: 6 + 20 = 26 26 + -9x + -4x = 6x + -25 Combine like terms: -9x + -4x = -13x 26 + -13x = 6x + -25 Reorder the terms: 26 + -13x = -25 + 6x Solving 26 + -13x = -25 + 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. 26 + -13x + -6x = -25 + 6x + -6x Combine like terms: -13x + -6x = -19x 26 + -19x = -25 + 6x + -6x Combine like terms: 6x + -6x = 0 26 + -19x = -25 + 0 26 + -19x = -25 Add '-26' to each side of the equation. 26 + -26 + -19x = -25 + -26 Combine like terms: 26 + -26 = 0 0 + -19x = -25 + -26 -19x = -25 + -26 Combine like terms: -25 + -26 = -51 -19x = -51 Divide each side by '-19'. x = 2.684210526 Simplifying x = 2.684210526
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