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Simplifying 3(x + -3) + 4 = 2x + 6 Reorder the terms: 3(-3 + x) + 4 = 2x + 6 (-3 * 3 + x * 3) + 4 = 2x + 6 (-9 + 3x) + 4 = 2x + 6 Reorder the terms: -9 + 4 + 3x = 2x + 6 Combine like terms: -9 + 4 = -5 -5 + 3x = 2x + 6 Reorder the terms: -5 + 3x = 6 + 2x Solving -5 + 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. -5 + 3x + -2x = 6 + 2x + -2x Combine like terms: 3x + -2x = 1x -5 + 1x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 1x = 6 + 0 -5 + 1x = 6 Add '5' to each side of the equation. -5 + 5 + 1x = 6 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = 6 + 5 1x = 6 + 5 Combine like terms: 6 + 5 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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