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Simplifying 4(x + 2) + -7(x + -1) + 9(3x + -4) = 30 Reorder the terms: 4(2 + x) + -7(x + -1) + 9(3x + -4) = 30 (2 * 4 + x * 4) + -7(x + -1) + 9(3x + -4) = 30 (8 + 4x) + -7(x + -1) + 9(3x + -4) = 30 Reorder the terms: 8 + 4x + -7(-1 + x) + 9(3x + -4) = 30 8 + 4x + (-1 * -7 + x * -7) + 9(3x + -4) = 30 8 + 4x + (7 + -7x) + 9(3x + -4) = 30 Reorder the terms: 8 + 4x + 7 + -7x + 9(-4 + 3x) = 30 8 + 4x + 7 + -7x + (-4 * 9 + 3x * 9) = 30 8 + 4x + 7 + -7x + (-36 + 27x) = 30 Reorder the terms: 8 + 7 + -36 + 4x + -7x + 27x = 30 Combine like terms: 8 + 7 = 15 15 + -36 + 4x + -7x + 27x = 30 Combine like terms: 15 + -36 = -21 -21 + 4x + -7x + 27x = 30 Combine like terms: 4x + -7x = -3x -21 + -3x + 27x = 30 Combine like terms: -3x + 27x = 24x -21 + 24x = 30 Solving -21 + 24x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 24x = 30 + 21 Combine like terms: -21 + 21 = 0 0 + 24x = 30 + 21 24x = 30 + 21 Combine like terms: 30 + 21 = 51 24x = 51 Divide each side by '24'. x = 2.125 Simplifying x = 2.125
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