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Simplifying -35 + 6x = -4(-6x + -7) + 3x Reorder the terms: -35 + 6x = -4(-7 + -6x) + 3x -35 + 6x = (-7 * -4 + -6x * -4) + 3x -35 + 6x = (28 + 24x) + 3x Combine like terms: 24x + 3x = 27x -35 + 6x = 28 + 27x Solving -35 + 6x = 28 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -35 + 6x + -27x = 28 + 27x + -27x Combine like terms: 6x + -27x = -21x -35 + -21x = 28 + 27x + -27x Combine like terms: 27x + -27x = 0 -35 + -21x = 28 + 0 -35 + -21x = 28 Add '35' to each side of the equation. -35 + 35 + -21x = 28 + 35 Combine like terms: -35 + 35 = 0 0 + -21x = 28 + 35 -21x = 28 + 35 Combine like terms: 28 + 35 = 63 -21x = 63 Divide each side by '-21'. x = -3 Simplifying x = -3
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