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Simplifying 15x + 3(2x + -7) + -9(4 + 5x) = 0 Reorder the terms: 15x + 3(-7 + 2x) + -9(4 + 5x) = 0 15x + (-7 * 3 + 2x * 3) + -9(4 + 5x) = 0 15x + (-21 + 6x) + -9(4 + 5x) = 0 15x + -21 + 6x + (4 * -9 + 5x * -9) = 0 15x + -21 + 6x + (-36 + -45x) = 0 Reorder the terms: -21 + -36 + 15x + 6x + -45x = 0 Combine like terms: -21 + -36 = -57 -57 + 15x + 6x + -45x = 0 Combine like terms: 15x + 6x = 21x -57 + 21x + -45x = 0 Combine like terms: 21x + -45x = -24x -57 + -24x = 0 Solving -57 + -24x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '57' to each side of the equation. -57 + 57 + -24x = 0 + 57 Combine like terms: -57 + 57 = 0 0 + -24x = 0 + 57 -24x = 0 + 57 Combine like terms: 0 + 57 = 57 -24x = 57 Divide each side by '-24'. x = -2.375 Simplifying x = -2.375
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