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Simplifying 3x + 5 + -5x = 6x + 12 Reorder the terms: 5 + 3x + -5x = 6x + 12 Combine like terms: 3x + -5x = -2x 5 + -2x = 6x + 12 Reorder the terms: 5 + -2x = 12 + 6x Solving 5 + -2x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 5 + -2x + -6x = 12 + 6x + -6x Combine like terms: -2x + -6x = -8x 5 + -8x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + -8x = 12 + 0 5 + -8x = 12 Add '-5' to each side of the equation. 5 + -5 + -8x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -8x = 12 + -5 -8x = 12 + -5 Combine like terms: 12 + -5 = 7 -8x = 7 Divide each side by '-8'. x = -0.875 Simplifying x = -0.875
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