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