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Simplifying 8x + -24 = 4x + 3(2x + 4) Reorder the terms: -24 + 8x = 4x + 3(2x + 4) Reorder the terms: -24 + 8x = 4x + 3(4 + 2x) -24 + 8x = 4x + (4 * 3 + 2x * 3) -24 + 8x = 4x + (12 + 6x) Reorder the terms: -24 + 8x = 12 + 4x + 6x Combine like terms: 4x + 6x = 10x -24 + 8x = 12 + 10x Solving -24 + 8x = 12 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -24 + 8x + -10x = 12 + 10x + -10x Combine like terms: 8x + -10x = -2x -24 + -2x = 12 + 10x + -10x Combine like terms: 10x + -10x = 0 -24 + -2x = 12 + 0 -24 + -2x = 12 Add '24' to each side of the equation. -24 + 24 + -2x = 12 + 24 Combine like terms: -24 + 24 = 0 0 + -2x = 12 + 24 -2x = 12 + 24 Combine like terms: 12 + 24 = 36 -2x = 36 Divide each side by '-2'. x = -18 Simplifying x = -18
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