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Simplifying (2x + 1) * 8 = (2x) * 10 Reorder the terms: (1 + 2x) * 8 = (2x) * 10 Reorder the terms for easier multiplication: 8(1 + 2x) = (2x) * 10 (1 * 8 + 2x * 8) = (2x) * 10 (8 + 16x) = (2x) * 10 Remove parenthesis around (2x) 8 + 16x = 2x * 10 Reorder the terms for easier multiplication: 8 + 16x = 2 * 10x Multiply 2 * 10 8 + 16x = 20x Solving 8 + 16x = 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 8 + 16x + -20x = 20x + -20x Combine like terms: 16x + -20x = -4x 8 + -4x = 20x + -20x Combine like terms: 20x + -20x = 0 8 + -4x = 0 Add '-8' to each side of the equation. 8 + -8 + -4x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = 0 + -8 -4x = 0 + -8 Combine like terms: 0 + -8 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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