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Simplifying 8x + -12x + 8 = 7 + -2x + 3 Reorder the terms: 8 + 8x + -12x = 7 + -2x + 3 Combine like terms: 8x + -12x = -4x 8 + -4x = 7 + -2x + 3 Reorder the terms: 8 + -4x = 7 + 3 + -2x Combine like terms: 7 + 3 = 10 8 + -4x = 10 + -2x Solving 8 + -4x = 10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 8 + -4x + 2x = 10 + -2x + 2x Combine like terms: -4x + 2x = -2x 8 + -2x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + -2x = 10 + 0 8 + -2x = 10 Add '-8' to each side of the equation. 8 + -8 + -2x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 10 + -8 -2x = 10 + -8 Combine like terms: 10 + -8 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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