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Simplifying 6x + 12 = 3 + 8x + -7 Reorder the terms: 12 + 6x = 3 + 8x + -7 Reorder the terms: 12 + 6x = 3 + -7 + 8x Combine like terms: 3 + -7 = -4 12 + 6x = -4 + 8x Solving 12 + 6x = -4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 12 + 6x + -8x = -4 + 8x + -8x Combine like terms: 6x + -8x = -2x 12 + -2x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -2x = -4 + 0 12 + -2x = -4 Add '-12' to each side of the equation. 12 + -12 + -2x = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = -4 + -12 -2x = -4 + -12 Combine like terms: -4 + -12 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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