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Simplifying 9 + -2(4x + 1) = 3x + -2(2x + 7) Reorder the terms: 9 + -2(1 + 4x) = 3x + -2(2x + 7) 9 + (1 * -2 + 4x * -2) = 3x + -2(2x + 7) 9 + (-2 + -8x) = 3x + -2(2x + 7) Combine like terms: 9 + -2 = 7 7 + -8x = 3x + -2(2x + 7) Reorder the terms: 7 + -8x = 3x + -2(7 + 2x) 7 + -8x = 3x + (7 * -2 + 2x * -2) 7 + -8x = 3x + (-14 + -4x) Reorder the terms: 7 + -8x = -14 + 3x + -4x Combine like terms: 3x + -4x = -1x 7 + -8x = -14 + -1x Solving 7 + -8x = -14 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 7 + -8x + x = -14 + -1x + x Combine like terms: -8x + x = -7x 7 + -7x = -14 + -1x + x Combine like terms: -1x + x = 0 7 + -7x = -14 + 0 7 + -7x = -14 Add '-7' to each side of the equation. 7 + -7 + -7x = -14 + -7 Combine like terms: 7 + -7 = 0 0 + -7x = -14 + -7 -7x = -14 + -7 Combine like terms: -14 + -7 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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