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Simplifying 4(x + 2) + -7(2x + -1) + -9(3x + -4) = 30 Reorder the terms: 4(2 + x) + -7(2x + -1) + -9(3x + -4) = 30 (2 * 4 + x * 4) + -7(2x + -1) + -9(3x + -4) = 30 (8 + 4x) + -7(2x + -1) + -9(3x + -4) = 30 Reorder the terms: 8 + 4x + -7(-1 + 2x) + -9(3x + -4) = 30 8 + 4x + (-1 * -7 + 2x * -7) + -9(3x + -4) = 30 8 + 4x + (7 + -14x) + -9(3x + -4) = 30 Reorder the terms: 8 + 4x + 7 + -14x + -9(-4 + 3x) = 30 8 + 4x + 7 + -14x + (-4 * -9 + 3x * -9) = 30 8 + 4x + 7 + -14x + (36 + -27x) = 30 Reorder the terms: 8 + 7 + 36 + 4x + -14x + -27x = 30 Combine like terms: 8 + 7 = 15 15 + 36 + 4x + -14x + -27x = 30 Combine like terms: 15 + 36 = 51 51 + 4x + -14x + -27x = 30 Combine like terms: 4x + -14x = -10x 51 + -10x + -27x = 30 Combine like terms: -10x + -27x = -37x 51 + -37x = 30 Solving 51 + -37x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + -37x = 30 + -51 Combine like terms: 51 + -51 = 0 0 + -37x = 30 + -51 -37x = 30 + -51 Combine like terms: 30 + -51 = -21 -37x = -21 Divide each side by '-37'. x = 0.5675675676 Simplifying x = 0.5675675676
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