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Simplifying 3(3x + 2) + 4(x + -1) = 6x + 9 Reorder the terms: 3(2 + 3x) + 4(x + -1) = 6x + 9 (2 * 3 + 3x * 3) + 4(x + -1) = 6x + 9 (6 + 9x) + 4(x + -1) = 6x + 9 Reorder the terms: 6 + 9x + 4(-1 + x) = 6x + 9 6 + 9x + (-1 * 4 + x * 4) = 6x + 9 6 + 9x + (-4 + 4x) = 6x + 9 Reorder the terms: 6 + -4 + 9x + 4x = 6x + 9 Combine like terms: 6 + -4 = 2 2 + 9x + 4x = 6x + 9 Combine like terms: 9x + 4x = 13x 2 + 13x = 6x + 9 Reorder the terms: 2 + 13x = 9 + 6x Solving 2 + 13x = 9 + 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. 2 + 13x + -6x = 9 + 6x + -6x Combine like terms: 13x + -6x = 7x 2 + 7x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + 7x = 9 + 0 2 + 7x = 9 Add '-2' to each side of the equation. 2 + -2 + 7x = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 9 + -2 7x = 9 + -2 Combine like terms: 9 + -2 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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