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Simplifying -7x + -4(2x + -8) = -24 + -8x Reorder the terms: -7x + -4(-8 + 2x) = -24 + -8x -7x + (-8 * -4 + 2x * -4) = -24 + -8x -7x + (32 + -8x) = -24 + -8x Reorder the terms: 32 + -7x + -8x = -24 + -8x Combine like terms: -7x + -8x = -15x 32 + -15x = -24 + -8x Solving 32 + -15x = -24 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 32 + -15x + 8x = -24 + -8x + 8x Combine like terms: -15x + 8x = -7x 32 + -7x = -24 + -8x + 8x Combine like terms: -8x + 8x = 0 32 + -7x = -24 + 0 32 + -7x = -24 Add '-32' to each side of the equation. 32 + -32 + -7x = -24 + -32 Combine like terms: 32 + -32 = 0 0 + -7x = -24 + -32 -7x = -24 + -32 Combine like terms: -24 + -32 = -56 -7x = -56 Divide each side by '-7'. x = 8 Simplifying x = 8
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