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Simplifying 6(2x + -3) = 4(x + 5) Reorder the terms: 6(-3 + 2x) = 4(x + 5) (-3 * 6 + 2x * 6) = 4(x + 5) (-18 + 12x) = 4(x + 5) Reorder the terms: -18 + 12x = 4(5 + x) -18 + 12x = (5 * 4 + x * 4) -18 + 12x = (20 + 4x) Solving -18 + 12x = 20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -18 + 12x + -4x = 20 + 4x + -4x Combine like terms: 12x + -4x = 8x -18 + 8x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 + 8x = 20 + 0 -18 + 8x = 20 Add '18' to each side of the equation. -18 + 18 + 8x = 20 + 18 Combine like terms: -18 + 18 = 0 0 + 8x = 20 + 18 8x = 20 + 18 Combine like terms: 20 + 18 = 38 8x = 38 Divide each side by '8'. x = 4.75 Simplifying x = 4.75
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