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Simplifying 3(5 + -2x) + (7 + -2x) = 1 + -9x (5 * 3 + -2x * 3) + (7 + -2x) = 1 + -9x (15 + -6x) + (7 + -2x) = 1 + -9x Remove parenthesis around (7 + -2x) 15 + -6x + 7 + -2x = 1 + -9x Reorder the terms: 15 + 7 + -6x + -2x = 1 + -9x Combine like terms: 15 + 7 = 22 22 + -6x + -2x = 1 + -9x Combine like terms: -6x + -2x = -8x 22 + -8x = 1 + -9x Solving 22 + -8x = 1 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 22 + -8x + 9x = 1 + -9x + 9x Combine like terms: -8x + 9x = 1x 22 + 1x = 1 + -9x + 9x Combine like terms: -9x + 9x = 0 22 + 1x = 1 + 0 22 + 1x = 1 Add '-22' to each side of the equation. 22 + -22 + 1x = 1 + -22 Combine like terms: 22 + -22 = 0 0 + 1x = 1 + -22 1x = 1 + -22 Combine like terms: 1 + -22 = -21 1x = -21 Divide each side by '1'. x = -21 Simplifying x = -21
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