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Simplifying 5x + -2x + 3 = 7x + 2x + -12 Reorder the terms: 3 + 5x + -2x = 7x + 2x + -12 Combine like terms: 5x + -2x = 3x 3 + 3x = 7x + 2x + -12 Reorder the terms: 3 + 3x = -12 + 7x + 2x Combine like terms: 7x + 2x = 9x 3 + 3x = -12 + 9x Solving 3 + 3x = -12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 3 + 3x + -9x = -12 + 9x + -9x Combine like terms: 3x + -9x = -6x 3 + -6x = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 3 + -6x = -12 + 0 3 + -6x = -12 Add '-3' to each side of the equation. 3 + -3 + -6x = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -6x = -12 + -3 -6x = -12 + -3 Combine like terms: -12 + -3 = -15 -6x = -15 Divide each side by '-6'. x = 2.5 Simplifying x = 2.5
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