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Simplifying 6x + 1 + 4x + -7 = 5(x + 1) + 9 Reorder the terms: 1 + -7 + 6x + 4x = 5(x + 1) + 9 Combine like terms: 1 + -7 = -6 -6 + 6x + 4x = 5(x + 1) + 9 Combine like terms: 6x + 4x = 10x -6 + 10x = 5(x + 1) + 9 Reorder the terms: -6 + 10x = 5(1 + x) + 9 -6 + 10x = (1 * 5 + x * 5) + 9 -6 + 10x = (5 + 5x) + 9 Reorder the terms: -6 + 10x = 5 + 9 + 5x Combine like terms: 5 + 9 = 14 -6 + 10x = 14 + 5x Solving -6 + 10x = 14 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 10x + -5x = 14 + 5x + -5x Combine like terms: 10x + -5x = 5x -6 + 5x = 14 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 5x = 14 + 0 -6 + 5x = 14 Add '6' to each side of the equation. -6 + 6 + 5x = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 14 + 6 5x = 14 + 6 Combine like terms: 14 + 6 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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