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Simplifying 6(5x + -3) = 2(4x + 2) Reorder the terms: 6(-3 + 5x) = 2(4x + 2) (-3 * 6 + 5x * 6) = 2(4x + 2) (-18 + 30x) = 2(4x + 2) Reorder the terms: -18 + 30x = 2(2 + 4x) -18 + 30x = (2 * 2 + 4x * 2) -18 + 30x = (4 + 8x) Solving -18 + 30x = 4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -18 + 30x + -8x = 4 + 8x + -8x Combine like terms: 30x + -8x = 22x -18 + 22x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 -18 + 22x = 4 + 0 -18 + 22x = 4 Add '18' to each side of the equation. -18 + 18 + 22x = 4 + 18 Combine like terms: -18 + 18 = 0 0 + 22x = 4 + 18 22x = 4 + 18 Combine like terms: 4 + 18 = 22 22x = 22 Divide each side by '22'. x = 1 Simplifying x = 1
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