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Simplifying -6x + 7(3x + -3) = -4 + -2x Reorder the terms: -6x + 7(-3 + 3x) = -4 + -2x -6x + (-3 * 7 + 3x * 7) = -4 + -2x -6x + (-21 + 21x) = -4 + -2x Reorder the terms: -21 + -6x + 21x = -4 + -2x Combine like terms: -6x + 21x = 15x -21 + 15x = -4 + -2x Solving -21 + 15x = -4 + -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. -21 + 15x + 2x = -4 + -2x + 2x Combine like terms: 15x + 2x = 17x -21 + 17x = -4 + -2x + 2x Combine like terms: -2x + 2x = 0 -21 + 17x = -4 + 0 -21 + 17x = -4 Add '21' to each side of the equation. -21 + 21 + 17x = -4 + 21 Combine like terms: -21 + 21 = 0 0 + 17x = -4 + 21 17x = -4 + 21 Combine like terms: -4 + 21 = 17 17x = 17 Divide each side by '17'. x = 1 Simplifying x = 1
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