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Simplifying -4x + 6(6 + -2x) = -7x + -36 -4x + (6 * 6 + -2x * 6) = -7x + -36 -4x + (36 + -12x) = -7x + -36 Reorder the terms: 36 + -4x + -12x = -7x + -36 Combine like terms: -4x + -12x = -16x 36 + -16x = -7x + -36 Reorder the terms: 36 + -16x = -36 + -7x Solving 36 + -16x = -36 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 36 + -16x + 7x = -36 + -7x + 7x Combine like terms: -16x + 7x = -9x 36 + -9x = -36 + -7x + 7x Combine like terms: -7x + 7x = 0 36 + -9x = -36 + 0 36 + -9x = -36 Add '-36' to each side of the equation. 36 + -36 + -9x = -36 + -36 Combine like terms: 36 + -36 = 0 0 + -9x = -36 + -36 -9x = -36 + -36 Combine like terms: -36 + -36 = -72 -9x = -72 Divide each side by '-9'. x = 8 Simplifying x = 8
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