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Simplifying 46 + -14 = 4(x + -2) Combine like terms: 46 + -14 = 32 32 = 4(x + -2) Reorder the terms: 32 = 4(-2 + x) 32 = (-2 * 4 + x * 4) 32 = (-8 + 4x) Solving 32 = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 32 + -4x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 32 + -4x = -8 + 0 32 + -4x = -8 Add '-32' to each side of the equation. 32 + -32 + -4x = -8 + -32 Combine like terms: 32 + -32 = 0 0 + -4x = -8 + -32 -4x = -8 + -32 Combine like terms: -8 + -32 = -40 -4x = -40 Divide each side by '-4'. x = 10 Simplifying x = 10
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