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Simplifying 14 + -46 = 3(x) + -2(-5) Combine like terms: 14 + -46 = -32 -32 = 3(x) + -2(-5) Multiply -2 * -5 -32 = 3x + 10 Reorder the terms: -32 = 10 + 3x Solving -32 = 10 + 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 = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 -32 + -3x = 10 + 0 -32 + -3x = 10 Add '32' to each side of the equation. -32 + 32 + -3x = 10 + 32 Combine like terms: -32 + 32 = 0 0 + -3x = 10 + 32 -3x = 10 + 32 Combine like terms: 10 + 32 = 42 -3x = 42 Divide each side by '-3'. x = -14 Simplifying x = -14
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