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Simplifying 3(x + -5) + (3x + 1) = 45 Reorder the terms: 3(-5 + x) + (3x + 1) = 45 (-5 * 3 + x * 3) + (3x + 1) = 45 (-15 + 3x) + (3x + 1) = 45 Reorder the terms: -15 + 3x + (1 + 3x) = 45 Remove parenthesis around (1 + 3x) -15 + 3x + 1 + 3x = 45 Reorder the terms: -15 + 1 + 3x + 3x = 45 Combine like terms: -15 + 1 = -14 -14 + 3x + 3x = 45 Combine like terms: 3x + 3x = 6x -14 + 6x = 45 Solving -14 + 6x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 6x = 45 + 14 Combine like terms: -14 + 14 = 0 0 + 6x = 45 + 14 6x = 45 + 14 Combine like terms: 45 + 14 = 59 6x = 59 Divide each side by '6'. x = 9.833333333 Simplifying x = 9.833333333
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