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Simplifying 7 + 3(2 + -3x) = 7x + 3(2x + -3) 7 + (2 * 3 + -3x * 3) = 7x + 3(2x + -3) 7 + (6 + -9x) = 7x + 3(2x + -3) Combine like terms: 7 + 6 = 13 13 + -9x = 7x + 3(2x + -3) Reorder the terms: 13 + -9x = 7x + 3(-3 + 2x) 13 + -9x = 7x + (-3 * 3 + 2x * 3) 13 + -9x = 7x + (-9 + 6x) Reorder the terms: 13 + -9x = -9 + 7x + 6x Combine like terms: 7x + 6x = 13x 13 + -9x = -9 + 13x Solving 13 + -9x = -9 + 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. 13 + -9x + -13x = -9 + 13x + -13x Combine like terms: -9x + -13x = -22x 13 + -22x = -9 + 13x + -13x Combine like terms: 13x + -13x = 0 13 + -22x = -9 + 0 13 + -22x = -9 Add '-13' to each side of the equation. 13 + -13 + -22x = -9 + -13 Combine like terms: 13 + -13 = 0 0 + -22x = -9 + -13 -22x = -9 + -13 Combine like terms: -9 + -13 = -22 -22x = -22 Divide each side by '-22'. x = 1 Simplifying x = 1
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