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Simplifying 3(x + -9 + 4x + -1) + -2(9 + -1x) = -65 Reorder the terms: 3(-9 + -1 + x + 4x) + -2(9 + -1x) = -65 Combine like terms: -9 + -1 = -10 3(-10 + x + 4x) + -2(9 + -1x) = -65 Combine like terms: x + 4x = 5x 3(-10 + 5x) + -2(9 + -1x) = -65 (-10 * 3 + 5x * 3) + -2(9 + -1x) = -65 (-30 + 15x) + -2(9 + -1x) = -65 -30 + 15x + (9 * -2 + -1x * -2) = -65 -30 + 15x + (-18 + 2x) = -65 Reorder the terms: -30 + -18 + 15x + 2x = -65 Combine like terms: -30 + -18 = -48 -48 + 15x + 2x = -65 Combine like terms: 15x + 2x = 17x -48 + 17x = -65 Solving -48 + 17x = -65 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 17x = -65 + 48 Combine like terms: -48 + 48 = 0 0 + 17x = -65 + 48 17x = -65 + 48 Combine like terms: -65 + 48 = -17 17x = -17 Divide each side by '17'. x = -1 Simplifying x = -1
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