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Simplifying 46 + -14 = 4(x + -4) Combine like terms: 46 + -14 = 32 32 = 4(x + -4) Reorder the terms: 32 = 4(-4 + x) 32 = (-4 * 4 + x * 4) 32 = (-16 + 4x) Solving 32 = -16 + 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 = -16 + 4x + -4x Combine like terms: 4x + -4x = 0 32 + -4x = -16 + 0 32 + -4x = -16 Add '-32' to each side of the equation. 32 + -32 + -4x = -16 + -32 Combine like terms: 32 + -32 = 0 0 + -4x = -16 + -32 -4x = -16 + -32 Combine like terms: -16 + -32 = -48 -4x = -48 Divide each side by '-4'. x = 12 Simplifying x = 12
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