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Simplifying 5x + 8 + -12x = 6x + 2x + -3 Reorder the terms: 8 + 5x + -12x = 6x + 2x + -3 Combine like terms: 5x + -12x = -7x 8 + -7x = 6x + 2x + -3 Reorder the terms: 8 + -7x = -3 + 6x + 2x Combine like terms: 6x + 2x = 8x 8 + -7x = -3 + 8x Solving 8 + -7x = -3 + 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. 8 + -7x + -8x = -3 + 8x + -8x Combine like terms: -7x + -8x = -15x 8 + -15x = -3 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + -15x = -3 + 0 8 + -15x = -3 Add '-8' to each side of the equation. 8 + -8 + -15x = -3 + -8 Combine like terms: 8 + -8 = 0 0 + -15x = -3 + -8 -15x = -3 + -8 Combine like terms: -3 + -8 = -11 -15x = -11 Divide each side by '-15'. x = 0.7333333333 Simplifying x = 0.7333333333
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