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Simplifying 14 + -46 = 3(x + -4) + -5 Combine like terms: 14 + -46 = -32 -32 = 3(x + -4) + -5 Reorder the terms: -32 = 3(-4 + x) + -5 -32 = (-4 * 3 + x * 3) + -5 -32 = (-12 + 3x) + -5 Reorder the terms: -32 = -12 + -5 + 3x Combine like terms: -12 + -5 = -17 -32 = -17 + 3x Solving -32 = -17 + 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 = -17 + 3x + -3x Combine like terms: 3x + -3x = 0 -32 + -3x = -17 + 0 -32 + -3x = -17 Add '32' to each side of the equation. -32 + 32 + -3x = -17 + 32 Combine like terms: -32 + 32 = 0 0 + -3x = -17 + 32 -3x = -17 + 32 Combine like terms: -17 + 32 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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