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Simplifying 3(x + -2) + 3x = 4(3 + x) + 4 Reorder the terms: 3(-2 + x) + 3x = 4(3 + x) + 4 (-2 * 3 + x * 3) + 3x = 4(3 + x) + 4 (-6 + 3x) + 3x = 4(3 + x) + 4 Combine like terms: 3x + 3x = 6x -6 + 6x = 4(3 + x) + 4 -6 + 6x = (3 * 4 + x * 4) + 4 -6 + 6x = (12 + 4x) + 4 Reorder the terms: -6 + 6x = 12 + 4 + 4x Combine like terms: 12 + 4 = 16 -6 + 6x = 16 + 4x Solving -6 + 6x = 16 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 6x + -4x = 16 + 4x + -4x Combine like terms: 6x + -4x = 2x -6 + 2x = 16 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 2x = 16 + 0 -6 + 2x = 16 Add '6' to each side of the equation. -6 + 6 + 2x = 16 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 16 + 6 2x = 16 + 6 Combine like terms: 16 + 6 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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