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Simplifying 3(x + -5) + 2(3x + 1) = 45 Reorder the terms: 3(-5 + x) + 2(3x + 1) = 45 (-5 * 3 + x * 3) + 2(3x + 1) = 45 (-15 + 3x) + 2(3x + 1) = 45 Reorder the terms: -15 + 3x + 2(1 + 3x) = 45 -15 + 3x + (1 * 2 + 3x * 2) = 45 -15 + 3x + (2 + 6x) = 45 Reorder the terms: -15 + 2 + 3x + 6x = 45 Combine like terms: -15 + 2 = -13 -13 + 3x + 6x = 45 Combine like terms: 3x + 6x = 9x -13 + 9x = 45 Solving -13 + 9x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 9x = 45 + 13 Combine like terms: -13 + 13 = 0 0 + 9x = 45 + 13 9x = 45 + 13 Combine like terms: 45 + 13 = 58 9x = 58 Divide each side by '9'. x = 6.444444444 Simplifying x = 6.444444444
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