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Simplifying 3x + x + 1 = 2(5x + 1) + 2 Reorder the terms: 1 + 3x + x = 2(5x + 1) + 2 Combine like terms: 3x + x = 4x 1 + 4x = 2(5x + 1) + 2 Reorder the terms: 1 + 4x = 2(1 + 5x) + 2 1 + 4x = (1 * 2 + 5x * 2) + 2 1 + 4x = (2 + 10x) + 2 Reorder the terms: 1 + 4x = 2 + 2 + 10x Combine like terms: 2 + 2 = 4 1 + 4x = 4 + 10x Solving 1 + 4x = 4 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 1 + 4x + -10x = 4 + 10x + -10x Combine like terms: 4x + -10x = -6x 1 + -6x = 4 + 10x + -10x Combine like terms: 10x + -10x = 0 1 + -6x = 4 + 0 1 + -6x = 4 Add '-1' to each side of the equation. 1 + -1 + -6x = 4 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 4 + -1 -6x = 4 + -1 Combine like terms: 4 + -1 = 3 -6x = 3 Divide each side by '-6'. x = -0.5 Simplifying x = -0.5
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