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Simplifying 14 + -46 = 3(x + -1) + -5 Combine like terms: 14 + -46 = -32 -32 = 3(x + -1) + -5 Reorder the terms: -32 = 3(-1 + x) + -5 -32 = (-1 * 3 + x * 3) + -5 -32 = (-3 + 3x) + -5 Reorder the terms: -32 = -3 + -5 + 3x Combine like terms: -3 + -5 = -8 -32 = -8 + 3x Solving -32 = -8 + 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. -32 + -3x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 -32 + -3x = -8 + 0 -32 + -3x = -8 Add '32' to each side of the equation. -32 + 32 + -3x = -8 + 32 Combine like terms: -32 + 32 = 0 0 + -3x = -8 + 32 -3x = -8 + 32 Combine like terms: -8 + 32 = 24 -3x = 24 Divide each side by '-3'. x = -8 Simplifying x = -8
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