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Simplifying 8(x + -3) = 6(2x + 1) Reorder the terms: 8(-3 + x) = 6(2x + 1) (-3 * 8 + x * 8) = 6(2x + 1) (-24 + 8x) = 6(2x + 1) Reorder the terms: -24 + 8x = 6(1 + 2x) -24 + 8x = (1 * 6 + 2x * 6) -24 + 8x = (6 + 12x) Solving -24 + 8x = 6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -24 + 8x + -12x = 6 + 12x + -12x Combine like terms: 8x + -12x = -4x -24 + -4x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -24 + -4x = 6 + 0 -24 + -4x = 6 Add '24' to each side of the equation. -24 + 24 + -4x = 6 + 24 Combine like terms: -24 + 24 = 0 0 + -4x = 6 + 24 -4x = 6 + 24 Combine like terms: 6 + 24 = 30 -4x = 30 Divide each side by '-4'. x = -7.5 Simplifying x = -7.5
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