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