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Simplifying 3(2x + -5) = 5 + -1(3x + -7) Reorder the terms: 3(-5 + 2x) = 5 + -1(3x + -7) (-5 * 3 + 2x * 3) = 5 + -1(3x + -7) (-15 + 6x) = 5 + -1(3x + -7) Reorder the terms: -15 + 6x = 5 + -1(-7 + 3x) -15 + 6x = 5 + (-7 * -1 + 3x * -1) -15 + 6x = 5 + (7 + -3x) Combine like terms: 5 + 7 = 12 -15 + 6x = 12 + -3x Solving -15 + 6x = 12 + -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 = 12 + -3x + 3x Combine like terms: 6x + 3x = 9x -15 + 9x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 -15 + 9x = 12 + 0 -15 + 9x = 12 Add '15' to each side of the equation. -15 + 15 + 9x = 12 + 15 Combine like terms: -15 + 15 = 0 0 + 9x = 12 + 15 9x = 12 + 15 Combine like terms: 12 + 15 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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