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Simplifying -15x + 12 + 3(2x + -6) = 3x + -1(21x + -1) + 2 Reorder the terms: -15x + 12 + 3(-6 + 2x) = 3x + -1(21x + -1) + 2 -15x + 12 + (-6 * 3 + 2x * 3) = 3x + -1(21x + -1) + 2 -15x + 12 + (-18 + 6x) = 3x + -1(21x + -1) + 2 Reorder the terms: 12 + -18 + -15x + 6x = 3x + -1(21x + -1) + 2 Combine like terms: 12 + -18 = -6 -6 + -15x + 6x = 3x + -1(21x + -1) + 2 Combine like terms: -15x + 6x = -9x -6 + -9x = 3x + -1(21x + -1) + 2 Reorder the terms: -6 + -9x = 3x + -1(-1 + 21x) + 2 -6 + -9x = 3x + (-1 * -1 + 21x * -1) + 2 -6 + -9x = 3x + (1 + -21x) + 2 Reorder the terms: -6 + -9x = 1 + 2 + 3x + -21x Combine like terms: 1 + 2 = 3 -6 + -9x = 3 + 3x + -21x Combine like terms: 3x + -21x = -18x -6 + -9x = 3 + -18x Solving -6 + -9x = 3 + -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 + -9x + 18x = 3 + -18x + 18x Combine like terms: -9x + 18x = 9x -6 + 9x = 3 + -18x + 18x Combine like terms: -18x + 18x = 0 -6 + 9x = 3 + 0 -6 + 9x = 3 Add '6' to each side of the equation. -6 + 6 + 9x = 3 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = 3 + 6 9x = 3 + 6 Combine like terms: 3 + 6 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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