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Simplifying 7[2 + -1(3 + 2x)] + -4 = -9 + 2(1 + -9x) 7[2 + (3 * -1 + 2x * -1)] + -4 = -9 + 2(1 + -9x) 7[2 + (-3 + -2x)] + -4 = -9 + 2(1 + -9x) Combine like terms: 2 + -3 = -1 7[-1 + -2x] + -4 = -9 + 2(1 + -9x) [-1 * 7 + -2x * 7] + -4 = -9 + 2(1 + -9x) [-7 + -14x] + -4 = -9 + 2(1 + -9x) Reorder the terms: -7 + -4 + -14x = -9 + 2(1 + -9x) Combine like terms: -7 + -4 = -11 -11 + -14x = -9 + 2(1 + -9x) -11 + -14x = -9 + (1 * 2 + -9x * 2) -11 + -14x = -9 + (2 + -18x) Combine like terms: -9 + 2 = -7 -11 + -14x = -7 + -18x Solving -11 + -14x = -7 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -11 + -14x + 18x = -7 + -18x + 18x Combine like terms: -14x + 18x = 4x -11 + 4x = -7 + -18x + 18x Combine like terms: -18x + 18x = 0 -11 + 4x = -7 + 0 -11 + 4x = -7 Add '11' to each side of the equation. -11 + 11 + 4x = -7 + 11 Combine like terms: -11 + 11 = 0 0 + 4x = -7 + 11 4x = -7 + 11 Combine like terms: -7 + 11 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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