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Simplifying 5 + 10x + -1 = 4x + 12 + -2x Reorder the terms: 5 + -1 + 10x = 4x + 12 + -2x Combine like terms: 5 + -1 = 4 4 + 10x = 4x + 12 + -2x Reorder the terms: 4 + 10x = 12 + 4x + -2x Combine like terms: 4x + -2x = 2x 4 + 10x = 12 + 2x Solving 4 + 10x = 12 + 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 + 10x + -2x = 12 + 2x + -2x Combine like terms: 10x + -2x = 8x 4 + 8x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 8x = 12 + 0 4 + 8x = 12 Add '-4' to each side of the equation. 4 + -4 + 8x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = 12 + -4 8x = 12 + -4 Combine like terms: 12 + -4 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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