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Simplifying 22 + -46 = 3(x + -2) + -6 Combine like terms: 22 + -46 = -24 -24 = 3(x + -2) + -6 Reorder the terms: -24 = 3(-2 + x) + -6 -24 = (-2 * 3 + x * 3) + -6 -24 = (-6 + 3x) + -6 Reorder the terms: -24 = -6 + -6 + 3x Combine like terms: -6 + -6 = -12 -24 = -12 + 3x Solving -24 = -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. -24 + -3x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -24 + -3x = -12 + 0 -24 + -3x = -12 Add '24' to each side of the equation. -24 + 24 + -3x = -12 + 24 Combine like terms: -24 + 24 = 0 0 + -3x = -12 + 24 -3x = -12 + 24 Combine like terms: -12 + 24 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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