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Simplifying 8x + 6 + -2x = -12 + 4x + 5 Reorder the terms: 6 + 8x + -2x = -12 + 4x + 5 Combine like terms: 8x + -2x = 6x 6 + 6x = -12 + 4x + 5 Reorder the terms: 6 + 6x = -12 + 5 + 4x Combine like terms: -12 + 5 = -7 6 + 6x = -7 + 4x Solving 6 + 6x = -7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + 6x + -4x = -7 + 4x + -4x Combine like terms: 6x + -4x = 2x 6 + 2x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + 2x = -7 + 0 6 + 2x = -7 Add '-6' to each side of the equation. 6 + -6 + 2x = -7 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = -7 + -6 2x = -7 + -6 Combine like terms: -7 + -6 = -13 2x = -13 Divide each side by '2'. x = -6.5 Simplifying x = -6.5
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