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Simplifying 4(2x + -1) + -3(3x + -2) = 44 Reorder the terms: 4(-1 + 2x) + -3(3x + -2) = 44 (-1 * 4 + 2x * 4) + -3(3x + -2) = 44 (-4 + 8x) + -3(3x + -2) = 44 Reorder the terms: -4 + 8x + -3(-2 + 3x) = 44 -4 + 8x + (-2 * -3 + 3x * -3) = 44 -4 + 8x + (6 + -9x) = 44 Reorder the terms: -4 + 6 + 8x + -9x = 44 Combine like terms: -4 + 6 = 2 2 + 8x + -9x = 44 Combine like terms: 8x + -9x = -1x 2 + -1x = 44 Solving 2 + -1x = 44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 44 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 44 + -2 -1x = 44 + -2 Combine like terms: 44 + -2 = 42 -1x = 42 Divide each side by '-1'. x = -42 Simplifying x = -42
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