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Simplifying 8 + 4x = -12 + 7x Solving 8 + 4x = -12 + 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. 8 + 4x + -7x = -12 + 7x + -7x Combine like terms: 4x + -7x = -3x 8 + -3x = -12 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + -3x = -12 + 0 8 + -3x = -12 Add '-8' to each side of the equation. 8 + -8 + -3x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = -12 + -8 -3x = -12 + -8 Combine like terms: -12 + -8 = -20 -3x = -20 Divide each side by '-3'. x = 6.666666667 Simplifying x = 6.666666667
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