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Simplifying x + -6 = 3(x + 4) + -6 Reorder the terms: -6 + x = 3(x + 4) + -6 Reorder the terms: -6 + x = 3(4 + x) + -6 -6 + x = (4 * 3 + x * 3) + -6 -6 + x = (12 + 3x) + -6 Reorder the terms: -6 + x = 12 + -6 + 3x Combine like terms: 12 + -6 = 6 -6 + x = 6 + 3x Solving -6 + x = 6 + 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 + x + -3x = 6 + 3x + -3x Combine like terms: x + -3x = -2x -6 + -2x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -2x = 6 + 0 -6 + -2x = 6 Add '6' to each side of the equation. -6 + 6 + -2x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 6 + 6 -2x = 6 + 6 Combine like terms: 6 + 6 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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