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Simplifying 2(x + 1) + -5 = 3 + -1(6x + 2) Reorder the terms: 2(1 + x) + -5 = 3 + -1(6x + 2) (1 * 2 + x * 2) + -5 = 3 + -1(6x + 2) (2 + 2x) + -5 = 3 + -1(6x + 2) Reorder the terms: 2 + -5 + 2x = 3 + -1(6x + 2) Combine like terms: 2 + -5 = -3 -3 + 2x = 3 + -1(6x + 2) Reorder the terms: -3 + 2x = 3 + -1(2 + 6x) -3 + 2x = 3 + (2 * -1 + 6x * -1) -3 + 2x = 3 + (-2 + -6x) Combine like terms: 3 + -2 = 1 -3 + 2x = 1 + -6x Solving -3 + 2x = 1 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -3 + 2x + 6x = 1 + -6x + 6x Combine like terms: 2x + 6x = 8x -3 + 8x = 1 + -6x + 6x Combine like terms: -6x + 6x = 0 -3 + 8x = 1 + 0 -3 + 8x = 1 Add '3' to each side of the equation. -3 + 3 + 8x = 1 + 3 Combine like terms: -3 + 3 = 0 0 + 8x = 1 + 3 8x = 1 + 3 Combine like terms: 1 + 3 = 4 8x = 4 Divide each side by '8'. x = 0.5 Simplifying x = 0.5
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