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Simplifying 11 + -47 = 3(x + -2) + -6 Combine like terms: 11 + -47 = -36 -36 = 3(x + -2) + -6 Reorder the terms: -36 = 3(-2 + x) + -6 -36 = (-2 * 3 + x * 3) + -6 -36 = (-6 + 3x) + -6 Reorder the terms: -36 = -6 + -6 + 3x Combine like terms: -6 + -6 = -12 -36 = -12 + 3x Solving -36 = -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. -36 + -3x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -36 + -3x = -12 + 0 -36 + -3x = -12 Add '36' to each side of the equation. -36 + 36 + -3x = -12 + 36 Combine like terms: -36 + 36 = 0 0 + -3x = -12 + 36 -3x = -12 + 36 Combine like terms: -12 + 36 = 24 -3x = 24 Divide each side by '-3'. x = -8 Simplifying x = -8
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