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Simplifying 3(2x + -5) = 7 + -3x Reorder the terms: 3(-5 + 2x) = 7 + -3x (-5 * 3 + 2x * 3) = 7 + -3x (-15 + 6x) = 7 + -3x Solving -15 + 6x = 7 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -15 + 6x + 3x = 7 + -3x + 3x Combine like terms: 6x + 3x = 9x -15 + 9x = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 -15 + 9x = 7 + 0 -15 + 9x = 7 Add '15' to each side of the equation. -15 + 15 + 9x = 7 + 15 Combine like terms: -15 + 15 = 0 0 + 9x = 7 + 15 9x = 7 + 15 Combine like terms: 7 + 15 = 22 9x = 22 Divide each side by '9'. x = 2.444444444 Simplifying x = 2.444444444
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