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Simplifying 8(x + -3) = (x + 4) * 4 + -2x + -4 Reorder the terms: 8(-3 + x) = (x + 4) * 4 + -2x + -4 (-3 * 8 + x * 8) = (x + 4) * 4 + -2x + -4 (-24 + 8x) = (x + 4) * 4 + -2x + -4 Reorder the terms: -24 + 8x = (4 + x) * 4 + -2x + -4 Reorder the terms for easier multiplication: -24 + 8x = 4(4 + x) + -2x + -4 -24 + 8x = (4 * 4 + x * 4) + -2x + -4 -24 + 8x = (16 + 4x) + -2x + -4 Reorder the terms: -24 + 8x = 16 + -4 + 4x + -2x Combine like terms: 16 + -4 = 12 -24 + 8x = 12 + 4x + -2x Combine like terms: 4x + -2x = 2x -24 + 8x = 12 + 2x Solving -24 + 8x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -24 + 8x + -2x = 12 + 2x + -2x Combine like terms: 8x + -2x = 6x -24 + 6x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 6x = 12 + 0 -24 + 6x = 12 Add '24' to each side of the equation. -24 + 24 + 6x = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 6x = 12 + 24 6x = 12 + 24 Combine like terms: 12 + 24 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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