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Simplifying 4(x + 2) + 7(2x + -1) + -9(9x + -4) = 30 Reorder the terms: 4(2 + x) + 7(2x + -1) + -9(9x + -4) = 30 (2 * 4 + x * 4) + 7(2x + -1) + -9(9x + -4) = 30 (8 + 4x) + 7(2x + -1) + -9(9x + -4) = 30 Reorder the terms: 8 + 4x + 7(-1 + 2x) + -9(9x + -4) = 30 8 + 4x + (-1 * 7 + 2x * 7) + -9(9x + -4) = 30 8 + 4x + (-7 + 14x) + -9(9x + -4) = 30 Reorder the terms: 8 + 4x + -7 + 14x + -9(-4 + 9x) = 30 8 + 4x + -7 + 14x + (-4 * -9 + 9x * -9) = 30 8 + 4x + -7 + 14x + (36 + -81x) = 30 Reorder the terms: 8 + -7 + 36 + 4x + 14x + -81x = 30 Combine like terms: 8 + -7 = 1 1 + 36 + 4x + 14x + -81x = 30 Combine like terms: 1 + 36 = 37 37 + 4x + 14x + -81x = 30 Combine like terms: 4x + 14x = 18x 37 + 18x + -81x = 30 Combine like terms: 18x + -81x = -63x 37 + -63x = 30 Solving 37 + -63x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + -63x = 30 + -37 Combine like terms: 37 + -37 = 0 0 + -63x = 30 + -37 -63x = 30 + -37 Combine like terms: 30 + -37 = -7 -63x = -7 Divide each side by '-63'. x = 0.1111111111 Simplifying x = 0.1111111111
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