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