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Simplifying 5x + -7x + 3 = x + -9 + -12 Reorder the terms: 3 + 5x + -7x = x + -9 + -12 Combine like terms: 5x + -7x = -2x 3 + -2x = x + -9 + -12 Reorder the terms: 3 + -2x = -9 + -12 + x Combine like terms: -9 + -12 = -21 3 + -2x = -21 + x Solving 3 + -2x = -21 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3 + -2x + -1x = -21 + x + -1x Combine like terms: -2x + -1x = -3x 3 + -3x = -21 + x + -1x Combine like terms: x + -1x = 0 3 + -3x = -21 + 0 3 + -3x = -21 Add '-3' to each side of the equation. 3 + -3 + -3x = -21 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = -21 + -3 -3x = -21 + -3 Combine like terms: -21 + -3 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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