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Simplifying 9x + 1 + -2(-5x + -4) = 3(x + -3) Reorder the terms: 9x + 1 + -2(-4 + -5x) = 3(x + -3) 9x + 1 + (-4 * -2 + -5x * -2) = 3(x + -3) 9x + 1 + (8 + 10x) = 3(x + -3) Reorder the terms: 1 + 8 + 9x + 10x = 3(x + -3) Combine like terms: 1 + 8 = 9 9 + 9x + 10x = 3(x + -3) Combine like terms: 9x + 10x = 19x 9 + 19x = 3(x + -3) Reorder the terms: 9 + 19x = 3(-3 + x) 9 + 19x = (-3 * 3 + x * 3) 9 + 19x = (-9 + 3x) Solving 9 + 19x = -9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 9 + 19x + -3x = -9 + 3x + -3x Combine like terms: 19x + -3x = 16x 9 + 16x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + 16x = -9 + 0 9 + 16x = -9 Add '-9' to each side of the equation. 9 + -9 + 16x = -9 + -9 Combine like terms: 9 + -9 = 0 0 + 16x = -9 + -9 16x = -9 + -9 Combine like terms: -9 + -9 = -18 16x = -18 Divide each side by '16'. x = -1.125 Simplifying x = -1.125
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