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Simplifying 6(-7x + 2) = 6x + -36 Reorder the terms: 6(2 + -7x) = 6x + -36 (2 * 6 + -7x * 6) = 6x + -36 (12 + -42x) = 6x + -36 Reorder the terms: 12 + -42x = -36 + 6x Solving 12 + -42x = -36 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + -42x + -6x = -36 + 6x + -6x Combine like terms: -42x + -6x = -48x 12 + -48x = -36 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -48x = -36 + 0 12 + -48x = -36 Add '-12' to each side of the equation. 12 + -12 + -48x = -36 + -12 Combine like terms: 12 + -12 = 0 0 + -48x = -36 + -12 -48x = -36 + -12 Combine like terms: -36 + -12 = -48 -48x = -48 Divide each side by '-48'. x = 1 Simplifying x = 1
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