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Simplifying 7x + 3(2x + -1) = 10x + 9 Reorder the terms: 7x + 3(-1 + 2x) = 10x + 9 7x + (-1 * 3 + 2x * 3) = 10x + 9 7x + (-3 + 6x) = 10x + 9 Reorder the terms: -3 + 7x + 6x = 10x + 9 Combine like terms: 7x + 6x = 13x -3 + 13x = 10x + 9 Reorder the terms: -3 + 13x = 9 + 10x Solving -3 + 13x = 9 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -3 + 13x + -10x = 9 + 10x + -10x Combine like terms: 13x + -10x = 3x -3 + 3x = 9 + 10x + -10x Combine like terms: 10x + -10x = 0 -3 + 3x = 9 + 0 -3 + 3x = 9 Add '3' to each side of the equation. -3 + 3 + 3x = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = 9 + 3 3x = 9 + 3 Combine like terms: 9 + 3 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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