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