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Simplifying 6(x + 4) + -1X = 2(5x + 4) + 1 Reorder the terms: 6(4 + x) + -1X = 2(5x + 4) + 1 (4 * 6 + x * 6) + -1X = 2(5x + 4) + 1 (24 + 6x) + -1X = 2(5x + 4) + 1 Reorder the terms: 24 + -1X + 6x = 2(5x + 4) + 1 Reorder the terms: 24 + -1X + 6x = 2(4 + 5x) + 1 24 + -1X + 6x = (4 * 2 + 5x * 2) + 1 24 + -1X + 6x = (8 + 10x) + 1 Reorder the terms: 24 + -1X + 6x = 8 + 1 + 10x Combine like terms: 8 + 1 = 9 24 + -1X + 6x = 9 + 10x Solving 24 + -1X + 6x = 9 + 10x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -1X + -24 + 6x = 9 + -24 + 10x Reorder the terms: 24 + -24 + -1X + 6x = 9 + -24 + 10x Combine like terms: 24 + -24 = 0 0 + -1X + 6x = 9 + -24 + 10x -1X + 6x = 9 + -24 + 10x Combine like terms: 9 + -24 = -15 -1X + 6x = -15 + 10x Add '-6x' to each side of the equation. -1X + 6x + -6x = -15 + 10x + -6x Combine like terms: 6x + -6x = 0 -1X + 0 = -15 + 10x + -6x -1X = -15 + 10x + -6x Combine like terms: 10x + -6x = 4x -1X = -15 + 4x Divide each side by '-1'. X = 15 + -4x Simplifying X = 15 + -4x
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