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Simplifying 3(x + -15) + 2(3x + 1) = 45 Reorder the terms: 3(-15 + x) + 2(3x + 1) = 45 (-15 * 3 + x * 3) + 2(3x + 1) = 45 (-45 + 3x) + 2(3x + 1) = 45 Reorder the terms: -45 + 3x + 2(1 + 3x) = 45 -45 + 3x + (1 * 2 + 3x * 2) = 45 -45 + 3x + (2 + 6x) = 45 Reorder the terms: -45 + 2 + 3x + 6x = 45 Combine like terms: -45 + 2 = -43 -43 + 3x + 6x = 45 Combine like terms: 3x + 6x = 9x -43 + 9x = 45 Solving -43 + 9x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + 9x = 45 + 43 Combine like terms: -43 + 43 = 0 0 + 9x = 45 + 43 9x = 45 + 43 Combine like terms: 45 + 43 = 88 9x = 88 Divide each side by '9'. x = 9.777777778 Simplifying x = 9.777777778
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