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Simplifying 2(3x + 5) = [0.5(4 + 7x + 4) * 2] Reorder the terms: 2(5 + 3x) = [0.5(4 + 7x + 4) * 2] (5 * 2 + 3x * 2) = [0.5(4 + 7x + 4) * 2] (10 + 6x) = [0.5(4 + 7x + 4) * 2] Reorder the terms: 10 + 6x = [0.5(4 + 4 + 7x) * 2] Combine like terms: 4 + 4 = 8 10 + 6x = [0.5(8 + 7x) * 2] Reorder the terms for easier multiplication: 10 + 6x = [0.5 * 2(8 + 7x)] Multiply 0.5 * 2 10 + 6x = [1(8 + 7x)] 10 + 6x = [(8 * 1 + 7x * 1)] 10 + 6x = [(8 + 7x)] 10 + 6x = [8 + 7x] Remove brackets around [8 + 7x] 10 + 6x = 8 + 7x Solving 10 + 6x = 8 + 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. 10 + 6x + -7x = 8 + 7x + -7x Combine like terms: 6x + -7x = -1x 10 + -1x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -1x = 8 + 0 10 + -1x = 8 Add '-10' to each side of the equation. 10 + -10 + -1x = 8 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 8 + -10 -1x = 8 + -10 Combine like terms: 8 + -10 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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