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Simplifying 3(2x + -6) = -3x + -10 + 7x + 4 Reorder the terms: 3(-6 + 2x) = -3x + -10 + 7x + 4 (-6 * 3 + 2x * 3) = -3x + -10 + 7x + 4 (-18 + 6x) = -3x + -10 + 7x + 4 Reorder the terms: -18 + 6x = -10 + 4 + -3x + 7x Combine like terms: -10 + 4 = -6 -18 + 6x = -6 + -3x + 7x Combine like terms: -3x + 7x = 4x -18 + 6x = -6 + 4x Solving -18 + 6x = -6 + 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 = -6 + 4x + -4x Combine like terms: 6x + -4x = 2x -18 + 2x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 + 2x = -6 + 0 -18 + 2x = -6 Add '18' to each side of the equation. -18 + 18 + 2x = -6 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = -6 + 18 2x = -6 + 18 Combine like terms: -6 + 18 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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