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Simplifying 3x + 4(x + -3) = 4(x + 4) + 2 Reorder the terms: 3x + 4(-3 + x) = 4(x + 4) + 2 3x + (-3 * 4 + x * 4) = 4(x + 4) + 2 3x + (-12 + 4x) = 4(x + 4) + 2 Reorder the terms: -12 + 3x + 4x = 4(x + 4) + 2 Combine like terms: 3x + 4x = 7x -12 + 7x = 4(x + 4) + 2 Reorder the terms: -12 + 7x = 4(4 + x) + 2 -12 + 7x = (4 * 4 + x * 4) + 2 -12 + 7x = (16 + 4x) + 2 Reorder the terms: -12 + 7x = 16 + 2 + 4x Combine like terms: 16 + 2 = 18 -12 + 7x = 18 + 4x Solving -12 + 7x = 18 + 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. -12 + 7x + -4x = 18 + 4x + -4x Combine like terms: 7x + -4x = 3x -12 + 3x = 18 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 3x = 18 + 0 -12 + 3x = 18 Add '12' to each side of the equation. -12 + 12 + 3x = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = 18 + 12 3x = 18 + 12 Combine like terms: 18 + 12 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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