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Simplifying (x + 1) * 2 = 3x * 2 Reorder the terms: (1 + x) * 2 = 3x * 2 Reorder the terms for easier multiplication: 2(1 + x) = 3x * 2 (1 * 2 + x * 2) = 3x * 2 (2 + 2x) = 3x * 2 Reorder the terms for easier multiplication: 2 + 2x = 3 * 2x Multiply 3 * 2 2 + 2x = 6x Solving 2 + 2x = 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. 2 + 2x + -6x = 6x + -6x Combine like terms: 2x + -6x = -4x 2 + -4x = 6x + -6x Combine like terms: 6x + -6x = 0 2 + -4x = 0 Add '-2' to each side of the equation. 2 + -2 + -4x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = 0 + -2 -4x = 0 + -2 Combine like terms: 0 + -2 = -2 -4x = -2 Divide each side by '-4'. x = 0.5 Simplifying x = 0.5
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