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Simplifying 2x + 3 + -7x = -6x + 2x + -12 Reorder the terms: 3 + 2x + -7x = -6x + 2x + -12 Combine like terms: 2x + -7x = -5x 3 + -5x = -6x + 2x + -12 Reorder the terms: 3 + -5x = -12 + -6x + 2x Combine like terms: -6x + 2x = -4x 3 + -5x = -12 + -4x Solving 3 + -5x = -12 + -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. 3 + -5x + 4x = -12 + -4x + 4x Combine like terms: -5x + 4x = -1x 3 + -1x = -12 + -4x + 4x Combine like terms: -4x + 4x = 0 3 + -1x = -12 + 0 3 + -1x = -12 Add '-3' to each side of the equation. 3 + -3 + -1x = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = -12 + -3 -1x = -12 + -3 Combine like terms: -12 + -3 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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