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Simplifying 4x + -3(x + 2) = 3(x + 6) Reorder the terms: 4x + -3(2 + x) = 3(x + 6) 4x + (2 * -3 + x * -3) = 3(x + 6) 4x + (-6 + -3x) = 3(x + 6) Reorder the terms: -6 + 4x + -3x = 3(x + 6) Combine like terms: 4x + -3x = 1x -6 + 1x = 3(x + 6) Reorder the terms: -6 + 1x = 3(6 + x) -6 + 1x = (6 * 3 + x * 3) -6 + 1x = (18 + 3x) Solving -6 + 1x = 18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + 1x + -3x = 18 + 3x + -3x Combine like terms: 1x + -3x = -2x -6 + -2x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -2x = 18 + 0 -6 + -2x = 18 Add '6' to each side of the equation. -6 + 6 + -2x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 18 + 6 -2x = 18 + 6 Combine like terms: 18 + 6 = 24 -2x = 24 Divide each side by '-2'. x = -12 Simplifying x = -12
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