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Simplifying 11 + -46 = 3(x + -4) + -8 Combine like terms: 11 + -46 = -35 -35 = 3(x + -4) + -8 Reorder the terms: -35 = 3(-4 + x) + -8 -35 = (-4 * 3 + x * 3) + -8 -35 = (-12 + 3x) + -8 Reorder the terms: -35 = -12 + -8 + 3x Combine like terms: -12 + -8 = -20 -35 = -20 + 3x Solving -35 = -20 + 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. -35 + -3x = -20 + 3x + -3x Combine like terms: 3x + -3x = 0 -35 + -3x = -20 + 0 -35 + -3x = -20 Add '35' to each side of the equation. -35 + 35 + -3x = -20 + 35 Combine like terms: -35 + 35 = 0 0 + -3x = -20 + 35 -3x = -20 + 35 Combine like terms: -20 + 35 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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