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Simplifying 6(x + -3) = 4(x + 2) Reorder the terms: 6(-3 + x) = 4(x + 2) (-3 * 6 + x * 6) = 4(x + 2) (-18 + 6x) = 4(x + 2) Reorder the terms: -18 + 6x = 4(2 + x) -18 + 6x = (2 * 4 + x * 4) -18 + 6x = (8 + 4x) Solving -18 + 6x = 8 + 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 + 6x + -4x = 8 + 4x + -4x Combine like terms: 6x + -4x = 2x -18 + 2x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 + 2x = 8 + 0 -18 + 2x = 8 Add '18' to each side of the equation. -18 + 18 + 2x = 8 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = 8 + 18 2x = 8 + 18 Combine like terms: 8 + 18 = 26 2x = 26 Divide each side by '2'. x = 13 Simplifying x = 13
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