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Simplifying 5x + 8 + -12x = 11 + -15x + 5 Reorder the terms: 8 + 5x + -12x = 11 + -15x + 5 Combine like terms: 5x + -12x = -7x 8 + -7x = 11 + -15x + 5 Reorder the terms: 8 + -7x = 11 + 5 + -15x Combine like terms: 11 + 5 = 16 8 + -7x = 16 + -15x Solving 8 + -7x = 16 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 8 + -7x + 15x = 16 + -15x + 15x Combine like terms: -7x + 15x = 8x 8 + 8x = 16 + -15x + 15x Combine like terms: -15x + 15x = 0 8 + 8x = 16 + 0 8 + 8x = 16 Add '-8' to each side of the equation. 8 + -8 + 8x = 16 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = 16 + -8 8x = 16 + -8 Combine like terms: 16 + -8 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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