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Simplifying 2(4x + -3) + 5 = 3(2x + 1) + 2 Reorder the terms: 2(-3 + 4x) + 5 = 3(2x + 1) + 2 (-3 * 2 + 4x * 2) + 5 = 3(2x + 1) + 2 (-6 + 8x) + 5 = 3(2x + 1) + 2 Reorder the terms: -6 + 5 + 8x = 3(2x + 1) + 2 Combine like terms: -6 + 5 = -1 -1 + 8x = 3(2x + 1) + 2 Reorder the terms: -1 + 8x = 3(1 + 2x) + 2 -1 + 8x = (1 * 3 + 2x * 3) + 2 -1 + 8x = (3 + 6x) + 2 Reorder the terms: -1 + 8x = 3 + 2 + 6x Combine like terms: 3 + 2 = 5 -1 + 8x = 5 + 6x Solving -1 + 8x = 5 + 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 = 5 + 6x + -6x Combine like terms: 8x + -6x = 2x -1 + 2x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + 2x = 5 + 0 -1 + 2x = 5 Add '1' to each side of the equation. -1 + 1 + 2x = 5 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 5 + 1 2x = 5 + 1 Combine like terms: 5 + 1 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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