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Simplifying 8(x + -3) = 6(x + 2) + -4 Reorder the terms: 8(-3 + x) = 6(x + 2) + -4 (-3 * 8 + x * 8) = 6(x + 2) + -4 (-24 + 8x) = 6(x + 2) + -4 Reorder the terms: -24 + 8x = 6(2 + x) + -4 -24 + 8x = (2 * 6 + x * 6) + -4 -24 + 8x = (12 + 6x) + -4 Reorder the terms: -24 + 8x = 12 + -4 + 6x Combine like terms: 12 + -4 = 8 -24 + 8x = 8 + 6x Solving -24 + 8x = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -24 + 8x + -6x = 8 + 6x + -6x Combine like terms: 8x + -6x = 2x -24 + 2x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 -24 + 2x = 8 + 0 -24 + 2x = 8 Add '24' to each side of the equation. -24 + 24 + 2x = 8 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = 8 + 24 2x = 8 + 24 Combine like terms: 8 + 24 = 32 2x = 32 Divide each side by '2'. x = 16 Simplifying x = 16
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