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Simplifying 3(x + -5) = 6 + -2(x + -3) Reorder the terms: 3(-5 + x) = 6 + -2(x + -3) (-5 * 3 + x * 3) = 6 + -2(x + -3) (-15 + 3x) = 6 + -2(x + -3) Reorder the terms: -15 + 3x = 6 + -2(-3 + x) -15 + 3x = 6 + (-3 * -2 + x * -2) -15 + 3x = 6 + (6 + -2x) Combine like terms: 6 + 6 = 12 -15 + 3x = 12 + -2x Solving -15 + 3x = 12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -15 + 3x + 2x = 12 + -2x + 2x Combine like terms: 3x + 2x = 5x -15 + 5x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 -15 + 5x = 12 + 0 -15 + 5x = 12 Add '15' to each side of the equation. -15 + 15 + 5x = 12 + 15 Combine like terms: -15 + 15 = 0 0 + 5x = 12 + 15 5x = 12 + 15 Combine like terms: 12 + 15 = 27 5x = 27 Divide each side by '5'. x = 5.4 Simplifying x = 5.4
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