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Simplifying (3 + 4x) * 2 + (4x + 3) * 2 = (5x + 5) * 2 Reorder the terms for easier multiplication: 2(3 + 4x) + (4x + 3) * 2 = (5x + 5) * 2 (3 * 2 + 4x * 2) + (4x + 3) * 2 = (5x + 5) * 2 (6 + 8x) + (4x + 3) * 2 = (5x + 5) * 2 Reorder the terms: 6 + 8x + (3 + 4x) * 2 = (5x + 5) * 2 Reorder the terms for easier multiplication: 6 + 8x + 2(3 + 4x) = (5x + 5) * 2 6 + 8x + (3 * 2 + 4x * 2) = (5x + 5) * 2 6 + 8x + (6 + 8x) = (5x + 5) * 2 Reorder the terms: 6 + 6 + 8x + 8x = (5x + 5) * 2 Combine like terms: 6 + 6 = 12 12 + 8x + 8x = (5x + 5) * 2 Combine like terms: 8x + 8x = 16x 12 + 16x = (5x + 5) * 2 Reorder the terms: 12 + 16x = (5 + 5x) * 2 Reorder the terms for easier multiplication: 12 + 16x = 2(5 + 5x) 12 + 16x = (5 * 2 + 5x * 2) 12 + 16x = (10 + 10x) Solving 12 + 16x = 10 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12 + 16x + -10x = 10 + 10x + -10x Combine like terms: 16x + -10x = 6x 12 + 6x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + 6x = 10 + 0 12 + 6x = 10 Add '-12' to each side of the equation. 12 + -12 + 6x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 10 + -12 6x = 10 + -12 Combine like terms: 10 + -12 = -2 6x = -2 Divide each side by '6'. x = -0.3333333333 Simplifying x = -0.3333333333
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