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Simplifying 6x + -1 + 4x + 6 = 2x + 1 Reorder the terms: -1 + 6 + 6x + 4x = 2x + 1 Combine like terms: -1 + 6 = 5 5 + 6x + 4x = 2x + 1 Combine like terms: 6x + 4x = 10x 5 + 10x = 2x + 1 Reorder the terms: 5 + 10x = 1 + 2x Solving 5 + 10x = 1 + 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. 5 + 10x + -2x = 1 + 2x + -2x Combine like terms: 10x + -2x = 8x 5 + 8x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 8x = 1 + 0 5 + 8x = 1 Add '-5' to each side of the equation. 5 + -5 + 8x = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = 1 + -5 8x = 1 + -5 Combine like terms: 1 + -5 = -4 8x = -4 Divide each side by '8'. x = -0.5 Simplifying x = -0.5
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