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Simplifying 3(3 + -2x) + 4 = 5(x + -4) + -6 + 2x (3 * 3 + -2x * 3) + 4 = 5(x + -4) + -6 + 2x (9 + -6x) + 4 = 5(x + -4) + -6 + 2x Reorder the terms: 9 + 4 + -6x = 5(x + -4) + -6 + 2x Combine like terms: 9 + 4 = 13 13 + -6x = 5(x + -4) + -6 + 2x Reorder the terms: 13 + -6x = 5(-4 + x) + -6 + 2x 13 + -6x = (-4 * 5 + x * 5) + -6 + 2x 13 + -6x = (-20 + 5x) + -6 + 2x Reorder the terms: 13 + -6x = -20 + -6 + 5x + 2x Combine like terms: -20 + -6 = -26 13 + -6x = -26 + 5x + 2x Combine like terms: 5x + 2x = 7x 13 + -6x = -26 + 7x Solving 13 + -6x = -26 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 13 + -6x + -7x = -26 + 7x + -7x Combine like terms: -6x + -7x = -13x 13 + -13x = -26 + 7x + -7x Combine like terms: 7x + -7x = 0 13 + -13x = -26 + 0 13 + -13x = -26 Add '-13' to each side of the equation. 13 + -13 + -13x = -26 + -13 Combine like terms: 13 + -13 = 0 0 + -13x = -26 + -13 -13x = -26 + -13 Combine like terms: -26 + -13 = -39 -13x = -39 Divide each side by '-13'. x = 3 Simplifying x = 3
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