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Simplifying 2(2x + 1) = [0.5(15 + x + -1) * 2] Reorder the terms: 2(1 + 2x) = [0.5(15 + x + -1) * 2] (1 * 2 + 2x * 2) = [0.5(15 + x + -1) * 2] (2 + 4x) = [0.5(15 + x + -1) * 2] Reorder the terms: 2 + 4x = [0.5(15 + -1 + x) * 2] Combine like terms: 15 + -1 = 14 2 + 4x = [0.5(14 + x) * 2] Reorder the terms for easier multiplication: 2 + 4x = [0.5 * 2(14 + x)] Multiply 0.5 * 2 2 + 4x = [1(14 + x)] 2 + 4x = [(14 * 1 + x * 1)] 2 + 4x = [(14 + 1x)] 2 + 4x = [14 + 1x] Remove brackets around [14 + 1x] 2 + 4x = 14 + 1x Solving 2 + 4x = 14 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 2 + 4x + -1x = 14 + 1x + -1x Combine like terms: 4x + -1x = 3x 2 + 3x = 14 + 1x + -1x Combine like terms: 1x + -1x = 0 2 + 3x = 14 + 0 2 + 3x = 14 Add '-2' to each side of the equation. 2 + -2 + 3x = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 14 + -2 3x = 14 + -2 Combine like terms: 14 + -2 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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