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Simplifying -5x + 44 = 2(x + -6) Reorder the terms: 44 + -5x = 2(x + -6) Reorder the terms: 44 + -5x = 2(-6 + x) 44 + -5x = (-6 * 2 + x * 2) 44 + -5x = (-12 + 2x) Solving 44 + -5x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 44 + -5x + -2x = -12 + 2x + -2x Combine like terms: -5x + -2x = -7x 44 + -7x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 44 + -7x = -12 + 0 44 + -7x = -12 Add '-44' to each side of the equation. 44 + -44 + -7x = -12 + -44 Combine like terms: 44 + -44 = 0 0 + -7x = -12 + -44 -7x = -12 + -44 Combine like terms: -12 + -44 = -56 -7x = -56 Divide each side by '-7'. x = 8 Simplifying x = 8
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