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Simplifying 1 = -7x + 3(3x + -7) Reorder the terms: 1 = -7x + 3(-7 + 3x) 1 = -7x + (-7 * 3 + 3x * 3) 1 = -7x + (-21 + 9x) Reorder the terms: 1 = -21 + -7x + 9x Combine like terms: -7x + 9x = 2x 1 = -21 + 2x Solving 1 = -21 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1 + -2x = -21 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -2x = -21 + 0 1 + -2x = -21 Add '-1' to each side of the equation. 1 + -1 + -2x = -21 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = -21 + -1 -2x = -21 + -1 Combine like terms: -21 + -1 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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