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Simplifying 5x + -2x + 4 = 3 + 7x + -12 Reorder the terms: 4 + 5x + -2x = 3 + 7x + -12 Combine like terms: 5x + -2x = 3x 4 + 3x = 3 + 7x + -12 Reorder the terms: 4 + 3x = 3 + -12 + 7x Combine like terms: 3 + -12 = -9 4 + 3x = -9 + 7x Solving 4 + 3x = -9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 4 + 3x + -7x = -9 + 7x + -7x Combine like terms: 3x + -7x = -4x 4 + -4x = -9 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -4x = -9 + 0 4 + -4x = -9 Add '-4' to each side of the equation. 4 + -4 + -4x = -9 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = -9 + -4 -4x = -9 + -4 Combine like terms: -9 + -4 = -13 -4x = -13 Divide each side by '-4'. x = 3.25 Simplifying x = 3.25
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