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Simplifying 5 = 3(3 + -2x) + 4(6 + -2x) 5 = (3 * 3 + -2x * 3) + 4(6 + -2x) 5 = (9 + -6x) + 4(6 + -2x) 5 = 9 + -6x + (6 * 4 + -2x * 4) 5 = 9 + -6x + (24 + -8x) Reorder the terms: 5 = 9 + 24 + -6x + -8x Combine like terms: 9 + 24 = 33 5 = 33 + -6x + -8x Combine like terms: -6x + -8x = -14x 5 = 33 + -14x Solving 5 = 33 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 5 + 14x = 33 + -14x + 14x Combine like terms: -14x + 14x = 0 5 + 14x = 33 + 0 5 + 14x = 33 Add '-5' to each side of the equation. 5 + -5 + 14x = 33 + -5 Combine like terms: 5 + -5 = 0 0 + 14x = 33 + -5 14x = 33 + -5 Combine like terms: 33 + -5 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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