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Simplifying 2x + -8x = 7(3x + -3) + 6(-5x + 3) Combine like terms: 2x + -8x = -6x -6x = 7(3x + -3) + 6(-5x + 3) Reorder the terms: -6x = 7(-3 + 3x) + 6(-5x + 3) -6x = (-3 * 7 + 3x * 7) + 6(-5x + 3) -6x = (-21 + 21x) + 6(-5x + 3) Reorder the terms: -6x = -21 + 21x + 6(3 + -5x) -6x = -21 + 21x + (3 * 6 + -5x * 6) -6x = -21 + 21x + (18 + -30x) Reorder the terms: -6x = -21 + 18 + 21x + -30x Combine like terms: -21 + 18 = -3 -6x = -3 + 21x + -30x Combine like terms: 21x + -30x = -9x -6x = -3 + -9x Solving -6x = -3 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -6x + 9x = -3 + -9x + 9x Combine like terms: -6x + 9x = 3x 3x = -3 + -9x + 9x Combine like terms: -9x + 9x = 0 3x = -3 + 0 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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