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Simplifying (2x + 4) * 2 + 2x = 2x(2) + 3x + 1 Reorder the terms: (4 + 2x) * 2 + 2x = 2x(2) + 3x + 1 Reorder the terms for easier multiplication: 2(4 + 2x) + 2x = 2x(2) + 3x + 1 (4 * 2 + 2x * 2) + 2x = 2x(2) + 3x + 1 (8 + 4x) + 2x = 2x(2) + 3x + 1 Combine like terms: 4x + 2x = 6x 8 + 6x = 2x(2) + 3x + 1 Reorder the terms for easier multiplication: 8 + 6x = 2 * 2x + 3x + 1 Multiply 2 * 2 8 + 6x = 4x + 3x + 1 Reorder the terms: 8 + 6x = 1 + 4x + 3x Combine like terms: 4x + 3x = 7x 8 + 6x = 1 + 7x Solving 8 + 6x = 1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 8 + 6x + -7x = 1 + 7x + -7x Combine like terms: 6x + -7x = -1x 8 + -1x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + -1x = 1 + 0 8 + -1x = 1 Add '-8' to each side of the equation. 8 + -8 + -1x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 1 + -8 -1x = 1 + -8 Combine like terms: 1 + -8 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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