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Simplifying 4x + -8 + 3x + 12 = -2x + -6 Reorder the terms: -8 + 12 + 4x + 3x = -2x + -6 Combine like terms: -8 + 12 = 4 4 + 4x + 3x = -2x + -6 Combine like terms: 4x + 3x = 7x 4 + 7x = -2x + -6 Reorder the terms: 4 + 7x = -6 + -2x Solving 4 + 7x = -6 + -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. 4 + 7x + 2x = -6 + -2x + 2x Combine like terms: 7x + 2x = 9x 4 + 9x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 9x = -6 + 0 4 + 9x = -6 Add '-4' to each side of the equation. 4 + -4 + 9x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = -6 + -4 9x = -6 + -4 Combine like terms: -6 + -4 = -10 9x = -10 Divide each side by '9'. x = -1.111111111 Simplifying x = -1.111111111
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