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Simplifying 3x + -24 = 7(x + -8) Reorder the terms: -24 + 3x = 7(x + -8) Reorder the terms: -24 + 3x = 7(-8 + x) -24 + 3x = (-8 * 7 + x * 7) -24 + 3x = (-56 + 7x) Solving -24 + 3x = -56 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -24 + 3x + -7x = -56 + 7x + -7x Combine like terms: 3x + -7x = -4x -24 + -4x = -56 + 7x + -7x Combine like terms: 7x + -7x = 0 -24 + -4x = -56 + 0 -24 + -4x = -56 Add '24' to each side of the equation. -24 + 24 + -4x = -56 + 24 Combine like terms: -24 + 24 = 0 0 + -4x = -56 + 24 -4x = -56 + 24 Combine like terms: -56 + 24 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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