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Simplifying 11(-2 + 3x) + 4 = -9(-2x + 7) (-2 * 11 + 3x * 11) + 4 = -9(-2x + 7) (-22 + 33x) + 4 = -9(-2x + 7) Reorder the terms: -22 + 4 + 33x = -9(-2x + 7) Combine like terms: -22 + 4 = -18 -18 + 33x = -9(-2x + 7) Reorder the terms: -18 + 33x = -9(7 + -2x) -18 + 33x = (7 * -9 + -2x * -9) -18 + 33x = (-63 + 18x) Solving -18 + 33x = -63 + 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. -18 + 33x + -18x = -63 + 18x + -18x Combine like terms: 33x + -18x = 15x -18 + 15x = -63 + 18x + -18x Combine like terms: 18x + -18x = 0 -18 + 15x = -63 + 0 -18 + 15x = -63 Add '18' to each side of the equation. -18 + 18 + 15x = -63 + 18 Combine like terms: -18 + 18 = 0 0 + 15x = -63 + 18 15x = -63 + 18 Combine like terms: -63 + 18 = -45 15x = -45 Divide each side by '15'. x = -3 Simplifying x = -3
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