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