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Simplifying -6 + -6(x + -7) = -2(-2x + -4) Reorder the terms: -6 + -6(-7 + x) = -2(-2x + -4) -6 + (-7 * -6 + x * -6) = -2(-2x + -4) -6 + (42 + -6x) = -2(-2x + -4) Combine like terms: -6 + 42 = 36 36 + -6x = -2(-2x + -4) Reorder the terms: 36 + -6x = -2(-4 + -2x) 36 + -6x = (-4 * -2 + -2x * -2) 36 + -6x = (8 + 4x) Solving 36 + -6x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 36 + -6x + -4x = 8 + 4x + -4x Combine like terms: -6x + -4x = -10x 36 + -10x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 36 + -10x = 8 + 0 36 + -10x = 8 Add '-36' to each side of the equation. 36 + -36 + -10x = 8 + -36 Combine like terms: 36 + -36 = 0 0 + -10x = 8 + -36 -10x = 8 + -36 Combine like terms: 8 + -36 = -28 -10x = -28 Divide each side by '-10'. x = 2.8 Simplifying x = 2.8
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