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Simplifying 5x + 7 + -2x = 1 + -3x + 12 Reorder the terms: 7 + 5x + -2x = 1 + -3x + 12 Combine like terms: 5x + -2x = 3x 7 + 3x = 1 + -3x + 12 Reorder the terms: 7 + 3x = 1 + 12 + -3x Combine like terms: 1 + 12 = 13 7 + 3x = 13 + -3x Solving 7 + 3x = 13 + -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. 7 + 3x + 3x = 13 + -3x + 3x Combine like terms: 3x + 3x = 6x 7 + 6x = 13 + -3x + 3x Combine like terms: -3x + 3x = 0 7 + 6x = 13 + 0 7 + 6x = 13 Add '-7' to each side of the equation. 7 + -7 + 6x = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = 13 + -7 6x = 13 + -7 Combine like terms: 13 + -7 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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