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Simplifying -5(2x + -6) = 4(1x + 11) Reorder the terms: -5(-6 + 2x) = 4(1x + 11) (-6 * -5 + 2x * -5) = 4(1x + 11) (30 + -10x) = 4(1x + 11) Reorder the terms: 30 + -10x = 4(11 + 1x) 30 + -10x = (11 * 4 + 1x * 4) 30 + -10x = (44 + 4x) Solving 30 + -10x = 44 + 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. 30 + -10x + -4x = 44 + 4x + -4x Combine like terms: -10x + -4x = -14x 30 + -14x = 44 + 4x + -4x Combine like terms: 4x + -4x = 0 30 + -14x = 44 + 0 30 + -14x = 44 Add '-30' to each side of the equation. 30 + -30 + -14x = 44 + -30 Combine like terms: 30 + -30 = 0 0 + -14x = 44 + -30 -14x = 44 + -30 Combine like terms: 44 + -30 = 14 -14x = 14 Divide each side by '-14'. x = -1 Simplifying x = -1
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