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Simplifying 3(1 + -3x) + 4 = 5(x + 2) (1 * 3 + -3x * 3) + 4 = 5(x + 2) (3 + -9x) + 4 = 5(x + 2) Reorder the terms: 3 + 4 + -9x = 5(x + 2) Combine like terms: 3 + 4 = 7 7 + -9x = 5(x + 2) Reorder the terms: 7 + -9x = 5(2 + x) 7 + -9x = (2 * 5 + x * 5) 7 + -9x = (10 + 5x) Solving 7 + -9x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7 + -9x + -5x = 10 + 5x + -5x Combine like terms: -9x + -5x = -14x 7 + -14x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -14x = 10 + 0 7 + -14x = 10 Add '-7' to each side of the equation. 7 + -7 + -14x = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -14x = 10 + -7 -14x = 10 + -7 Combine like terms: 10 + -7 = 3 -14x = 3 Divide each side by '-14'. x = -0.2142857143 Simplifying x = -0.2142857143
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