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Simplifying 4(2x + -3) + -5(7 + -1x) = 44 Reorder the terms: 4(-3 + 2x) + -5(7 + -1x) = 44 (-3 * 4 + 2x * 4) + -5(7 + -1x) = 44 (-12 + 8x) + -5(7 + -1x) = 44 -12 + 8x + (7 * -5 + -1x * -5) = 44 -12 + 8x + (-35 + 5x) = 44 Reorder the terms: -12 + -35 + 8x + 5x = 44 Combine like terms: -12 + -35 = -47 -47 + 8x + 5x = 44 Combine like terms: 8x + 5x = 13x -47 + 13x = 44 Solving -47 + 13x = 44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + 13x = 44 + 47 Combine like terms: -47 + 47 = 0 0 + 13x = 44 + 47 13x = 44 + 47 Combine like terms: 44 + 47 = 91 13x = 91 Divide each side by '13'. x = 7 Simplifying x = 7
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