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Simplifying -3 * 9(x + 2) + -2(4x + -1) = 2x + -4 Reorder the terms: -3 * 9(2 + x) + -2(4x + -1) = 2x + -4 Multiply -3 * 9 -27(2 + x) + -2(4x + -1) = 2x + -4 (2 * -27 + x * -27) + -2(4x + -1) = 2x + -4 (-54 + -27x) + -2(4x + -1) = 2x + -4 Reorder the terms: -54 + -27x + -2(-1 + 4x) = 2x + -4 -54 + -27x + (-1 * -2 + 4x * -2) = 2x + -4 -54 + -27x + (2 + -8x) = 2x + -4 Reorder the terms: -54 + 2 + -27x + -8x = 2x + -4 Combine like terms: -54 + 2 = -52 -52 + -27x + -8x = 2x + -4 Combine like terms: -27x + -8x = -35x -52 + -35x = 2x + -4 Reorder the terms: -52 + -35x = -4 + 2x Solving -52 + -35x = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -52 + -35x + -2x = -4 + 2x + -2x Combine like terms: -35x + -2x = -37x -52 + -37x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -52 + -37x = -4 + 0 -52 + -37x = -4 Add '52' to each side of the equation. -52 + 52 + -37x = -4 + 52 Combine like terms: -52 + 52 = 0 0 + -37x = -4 + 52 -37x = -4 + 52 Combine like terms: -4 + 52 = 48 -37x = 48 Divide each side by '-37'. x = -1.297297297 Simplifying x = -1.297297297
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