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Simplifying 5[2x + 3(2x + -1)] = 2(5x + 3) Reorder the terms: 5[2x + 3(-1 + 2x)] = 2(5x + 3) 5[2x + (-1 * 3 + 2x * 3)] = 2(5x + 3) 5[2x + (-3 + 6x)] = 2(5x + 3) Reorder the terms: 5[-3 + 2x + 6x] = 2(5x + 3) Combine like terms: 2x + 6x = 8x 5[-3 + 8x] = 2(5x + 3) [-3 * 5 + 8x * 5] = 2(5x + 3) [-15 + 40x] = 2(5x + 3) Reorder the terms: -15 + 40x = 2(3 + 5x) -15 + 40x = (3 * 2 + 5x * 2) -15 + 40x = (6 + 10x) Solving -15 + 40x = 6 + 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. -15 + 40x + -10x = 6 + 10x + -10x Combine like terms: 40x + -10x = 30x -15 + 30x = 6 + 10x + -10x Combine like terms: 10x + -10x = 0 -15 + 30x = 6 + 0 -15 + 30x = 6 Add '15' to each side of the equation. -15 + 15 + 30x = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 30x = 6 + 15 30x = 6 + 15 Combine like terms: 6 + 15 = 21 30x = 21 Divide each side by '30'. x = 0.7 Simplifying x = 0.7
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