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Simplifying 21 + -42 = 3(x + -2) + -6 Combine like terms: 21 + -42 = -21 -21 = 3(x + -2) + -6 Reorder the terms: -21 = 3(-2 + x) + -6 -21 = (-2 * 3 + x * 3) + -6 -21 = (-6 + 3x) + -6 Reorder the terms: -21 = -6 + -6 + 3x Combine like terms: -6 + -6 = -12 -21 = -12 + 3x Solving -21 = -12 + 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. -21 + -3x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -21 + -3x = -12 + 0 -21 + -3x = -12 Add '21' to each side of the equation. -21 + 21 + -3x = -12 + 21 Combine like terms: -21 + 21 = 0 0 + -3x = -12 + 21 -3x = -12 + 21 Combine like terms: -12 + 21 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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