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Simplifying 6x + 44 = -2(x + 6) Reorder the terms: 44 + 6x = -2(x + 6) Reorder the terms: 44 + 6x = -2(6 + x) 44 + 6x = (6 * -2 + x * -2) 44 + 6x = (-12 + -2x) Solving 44 + 6x = -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 + 6x + 2x = -12 + -2x + 2x Combine like terms: 6x + 2x = 8x 44 + 8x = -12 + -2x + 2x Combine like terms: -2x + 2x = 0 44 + 8x = -12 + 0 44 + 8x = -12 Add '-44' to each side of the equation. 44 + -44 + 8x = -12 + -44 Combine like terms: 44 + -44 = 0 0 + 8x = -12 + -44 8x = -12 + -44 Combine like terms: -12 + -44 = -56 8x = -56 Divide each side by '8'. x = -7 Simplifying x = -7
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