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Simplifying 2(4x + -3) + 9 = 5 + -1(7 + -7x) Reorder the terms: 2(-3 + 4x) + 9 = 5 + -1(7 + -7x) (-3 * 2 + 4x * 2) + 9 = 5 + -1(7 + -7x) (-6 + 8x) + 9 = 5 + -1(7 + -7x) Reorder the terms: -6 + 9 + 8x = 5 + -1(7 + -7x) Combine like terms: -6 + 9 = 3 3 + 8x = 5 + -1(7 + -7x) 3 + 8x = 5 + (7 * -1 + -7x * -1) 3 + 8x = 5 + (-7 + 7x) Combine like terms: 5 + -7 = -2 3 + 8x = -2 + 7x Solving 3 + 8x = -2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 3 + 8x + -7x = -2 + 7x + -7x Combine like terms: 8x + -7x = 1x 3 + 1x = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 3 + 1x = -2 + 0 3 + 1x = -2 Add '-3' to each side of the equation. 3 + -3 + 1x = -2 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = -2 + -3 1x = -2 + -3 Combine like terms: -2 + -3 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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