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Simplifying 12(2x + 1) + -13 = 8x + 3(5x + 4) + -6 Reorder the terms: 12(1 + 2x) + -13 = 8x + 3(5x + 4) + -6 (1 * 12 + 2x * 12) + -13 = 8x + 3(5x + 4) + -6 (12 + 24x) + -13 = 8x + 3(5x + 4) + -6 Reorder the terms: 12 + -13 + 24x = 8x + 3(5x + 4) + -6 Combine like terms: 12 + -13 = -1 -1 + 24x = 8x + 3(5x + 4) + -6 Reorder the terms: -1 + 24x = 8x + 3(4 + 5x) + -6 -1 + 24x = 8x + (4 * 3 + 5x * 3) + -6 -1 + 24x = 8x + (12 + 15x) + -6 Reorder the terms: -1 + 24x = 12 + -6 + 8x + 15x Combine like terms: 12 + -6 = 6 -1 + 24x = 6 + 8x + 15x Combine like terms: 8x + 15x = 23x -1 + 24x = 6 + 23x Solving -1 + 24x = 6 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. -1 + 24x + -23x = 6 + 23x + -23x Combine like terms: 24x + -23x = 1x -1 + 1x = 6 + 23x + -23x Combine like terms: 23x + -23x = 0 -1 + 1x = 6 + 0 -1 + 1x = 6 Add '1' to each side of the equation. -1 + 1 + 1x = 6 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 6 + 1 1x = 6 + 1 Combine like terms: 6 + 1 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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