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Simplifying 3x + 7 = 12x + -32 + 4x Reorder the terms: 7 + 3x = 12x + -32 + 4x Reorder the terms: 7 + 3x = -32 + 12x + 4x Combine like terms: 12x + 4x = 16x 7 + 3x = -32 + 16x Solving 7 + 3x = -32 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 7 + 3x + -16x = -32 + 16x + -16x Combine like terms: 3x + -16x = -13x 7 + -13x = -32 + 16x + -16x Combine like terms: 16x + -16x = 0 7 + -13x = -32 + 0 7 + -13x = -32 Add '-7' to each side of the equation. 7 + -7 + -13x = -32 + -7 Combine like terms: 7 + -7 = 0 0 + -13x = -32 + -7 -13x = -32 + -7 Combine like terms: -32 + -7 = -39 -13x = -39 Divide each side by '-13'. x = 3 Simplifying x = 3
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