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Simplifying 5 + 2(4x + -3) = 3(2x + 5) Reorder the terms: 5 + 2(-3 + 4x) = 3(2x + 5) 5 + (-3 * 2 + 4x * 2) = 3(2x + 5) 5 + (-6 + 8x) = 3(2x + 5) Combine like terms: 5 + -6 = -1 -1 + 8x = 3(2x + 5) Reorder the terms: -1 + 8x = 3(5 + 2x) -1 + 8x = (5 * 3 + 2x * 3) -1 + 8x = (15 + 6x) Solving -1 + 8x = 15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -1 + 8x + -6x = 15 + 6x + -6x Combine like terms: 8x + -6x = 2x -1 + 2x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + 2x = 15 + 0 -1 + 2x = 15 Add '1' to each side of the equation. -1 + 1 + 2x = 15 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 15 + 1 2x = 15 + 1 Combine like terms: 15 + 1 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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