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Simplifying 6(x + -3) = 2x + 4 + -6 Reorder the terms: 6(-3 + x) = 2x + 4 + -6 (-3 * 6 + x * 6) = 2x + 4 + -6 (-18 + 6x) = 2x + 4 + -6 Reorder the terms: -18 + 6x = 4 + -6 + 2x Combine like terms: 4 + -6 = -2 -18 + 6x = -2 + 2x Solving -18 + 6x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -18 + 6x + -2x = -2 + 2x + -2x Combine like terms: 6x + -2x = 4x -18 + 4x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + 4x = -2 + 0 -18 + 4x = -2 Add '18' to each side of the equation. -18 + 18 + 4x = -2 + 18 Combine like terms: -18 + 18 = 0 0 + 4x = -2 + 18 4x = -2 + 18 Combine like terms: -2 + 18 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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