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Simplifying 15x + 3(2x + -2) = 6(3x + 1) Reorder the terms: 15x + 3(-2 + 2x) = 6(3x + 1) 15x + (-2 * 3 + 2x * 3) = 6(3x + 1) 15x + (-6 + 6x) = 6(3x + 1) Reorder the terms: -6 + 15x + 6x = 6(3x + 1) Combine like terms: 15x + 6x = 21x -6 + 21x = 6(3x + 1) Reorder the terms: -6 + 21x = 6(1 + 3x) -6 + 21x = (1 * 6 + 3x * 6) -6 + 21x = (6 + 18x) Solving -6 + 21x = 6 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -6 + 21x + -18x = 6 + 18x + -18x Combine like terms: 21x + -18x = 3x -6 + 3x = 6 + 18x + -18x Combine like terms: 18x + -18x = 0 -6 + 3x = 6 + 0 -6 + 3x = 6 Add '6' to each side of the equation. -6 + 6 + 3x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 6 + 6 3x = 6 + 6 Combine like terms: 6 + 6 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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