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Simplifying 24 + 4(x + -4) = 8x + -45 Reorder the terms: 24 + 4(-4 + x) = 8x + -45 24 + (-4 * 4 + x * 4) = 8x + -45 24 + (-16 + 4x) = 8x + -45 Combine like terms: 24 + -16 = 8 8 + 4x = 8x + -45 Reorder the terms: 8 + 4x = -45 + 8x Solving 8 + 4x = -45 + 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. 8 + 4x + -8x = -45 + 8x + -8x Combine like terms: 4x + -8x = -4x 8 + -4x = -45 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + -4x = -45 + 0 8 + -4x = -45 Add '-8' to each side of the equation. 8 + -8 + -4x = -45 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = -45 + -8 -4x = -45 + -8 Combine like terms: -45 + -8 = -53 -4x = -53 Divide each side by '-4'. x = 13.25 Simplifying x = 13.25
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