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Simplifying -5x + -1(24(x + 5)) = -7(4x + 3) Reorder the terms: -5x + -1(24(5 + x)) = -7(4x + 3) -5x + -1((5 * 24 + x * 24)) = -7(4x + 3) -5x + -1((120 + 24x)) = -7(4x + 3) -5x + (120 * -1 + 24x * -1) = -7(4x + 3) -5x + (-120 + -24x) = -7(4x + 3) Reorder the terms: -120 + -5x + -24x = -7(4x + 3) Combine like terms: -5x + -24x = -29x -120 + -29x = -7(4x + 3) Reorder the terms: -120 + -29x = -7(3 + 4x) -120 + -29x = (3 * -7 + 4x * -7) -120 + -29x = (-21 + -28x) Solving -120 + -29x = -21 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. -120 + -29x + 28x = -21 + -28x + 28x Combine like terms: -29x + 28x = -1x -120 + -1x = -21 + -28x + 28x Combine like terms: -28x + 28x = 0 -120 + -1x = -21 + 0 -120 + -1x = -21 Add '120' to each side of the equation. -120 + 120 + -1x = -21 + 120 Combine like terms: -120 + 120 = 0 0 + -1x = -21 + 120 -1x = -21 + 120 Combine like terms: -21 + 120 = 99 -1x = 99 Divide each side by '-1'. x = -99 Simplifying x = -99
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