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Simplifying 3(11x + -5) + 2 = 10x + 4 Reorder the terms: 3(-5 + 11x) + 2 = 10x + 4 (-5 * 3 + 11x * 3) + 2 = 10x + 4 (-15 + 33x) + 2 = 10x + 4 Reorder the terms: -15 + 2 + 33x = 10x + 4 Combine like terms: -15 + 2 = -13 -13 + 33x = 10x + 4 Reorder the terms: -13 + 33x = 4 + 10x Solving -13 + 33x = 4 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -13 + 33x + -10x = 4 + 10x + -10x Combine like terms: 33x + -10x = 23x -13 + 23x = 4 + 10x + -10x Combine like terms: 10x + -10x = 0 -13 + 23x = 4 + 0 -13 + 23x = 4 Add '13' to each side of the equation. -13 + 13 + 23x = 4 + 13 Combine like terms: -13 + 13 = 0 0 + 23x = 4 + 13 23x = 4 + 13 Combine like terms: 4 + 13 = 17 23x = 17 Divide each side by '23'. x = 0.7391304348 Simplifying x = 0.7391304348
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