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Simplifying -7x + -30(x + 4) = -9(4x + 5) Reorder the terms: -7x + -30(4 + x) = -9(4x + 5) -7x + (4 * -30 + x * -30) = -9(4x + 5) -7x + (-120 + -30x) = -9(4x + 5) Reorder the terms: -120 + -7x + -30x = -9(4x + 5) Combine like terms: -7x + -30x = -37x -120 + -37x = -9(4x + 5) Reorder the terms: -120 + -37x = -9(5 + 4x) -120 + -37x = (5 * -9 + 4x * -9) -120 + -37x = (-45 + -36x) Solving -120 + -37x = -45 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -120 + -37x + 36x = -45 + -36x + 36x Combine like terms: -37x + 36x = -1x -120 + -1x = -45 + -36x + 36x Combine like terms: -36x + 36x = 0 -120 + -1x = -45 + 0 -120 + -1x = -45 Add '120' to each side of the equation. -120 + 120 + -1x = -45 + 120 Combine like terms: -120 + 120 = 0 0 + -1x = -45 + 120 -1x = -45 + 120 Combine like terms: -45 + 120 = 75 -1x = 75 Divide each side by '-1'. x = -75 Simplifying x = -75
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