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Simplifying -5x + -24(x + 2) = -4(7x + 8) Reorder the terms: -5x + -24(2 + x) = -4(7x + 8) -5x + (2 * -24 + x * -24) = -4(7x + 8) -5x + (-48 + -24x) = -4(7x + 8) Reorder the terms: -48 + -5x + -24x = -4(7x + 8) Combine like terms: -5x + -24x = -29x -48 + -29x = -4(7x + 8) Reorder the terms: -48 + -29x = -4(8 + 7x) -48 + -29x = (8 * -4 + 7x * -4) -48 + -29x = (-32 + -28x) Solving -48 + -29x = -32 + -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. -48 + -29x + 28x = -32 + -28x + 28x Combine like terms: -29x + 28x = -1x -48 + -1x = -32 + -28x + 28x Combine like terms: -28x + 28x = 0 -48 + -1x = -32 + 0 -48 + -1x = -32 Add '48' to each side of the equation. -48 + 48 + -1x = -32 + 48 Combine like terms: -48 + 48 = 0 0 + -1x = -32 + 48 -1x = -32 + 48 Combine like terms: -32 + 48 = 16 -1x = 16 Divide each side by '-1'. x = -16 Simplifying x = -16
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