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