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Simplifying 4(x + -3x) + 7(6x + 1) + -9(9x + -4) = 30 Combine like terms: x + -3x = -2x 4(-2x) + 7(6x + 1) + -9(9x + -4) = 30 Remove parenthesis around (-2x) 4 * -2x + 7(6x + 1) + -9(9x + -4) = 30 Multiply 4 * -2 -8x + 7(6x + 1) + -9(9x + -4) = 30 Reorder the terms: -8x + 7(1 + 6x) + -9(9x + -4) = 30 -8x + (1 * 7 + 6x * 7) + -9(9x + -4) = 30 -8x + (7 + 42x) + -9(9x + -4) = 30 Reorder the terms: -8x + 7 + 42x + -9(-4 + 9x) = 30 -8x + 7 + 42x + (-4 * -9 + 9x * -9) = 30 -8x + 7 + 42x + (36 + -81x) = 30 Reorder the terms: 7 + 36 + -8x + 42x + -81x = 30 Combine like terms: 7 + 36 = 43 43 + -8x + 42x + -81x = 30 Combine like terms: -8x + 42x = 34x 43 + 34x + -81x = 30 Combine like terms: 34x + -81x = -47x 43 + -47x = 30 Solving 43 + -47x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + -47x = 30 + -43 Combine like terms: 43 + -43 = 0 0 + -47x = 30 + -43 -47x = 30 + -43 Combine like terms: 30 + -43 = -13 -47x = -13 Divide each side by '-47'. x = 0.2765957447 Simplifying x = 0.2765957447
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