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Simplifying 7(2x + -13) + 80 = 4x + -61 Reorder the terms: 7(-13 + 2x) + 80 = 4x + -61 (-13 * 7 + 2x * 7) + 80 = 4x + -61 (-91 + 14x) + 80 = 4x + -61 Reorder the terms: -91 + 80 + 14x = 4x + -61 Combine like terms: -91 + 80 = -11 -11 + 14x = 4x + -61 Reorder the terms: -11 + 14x = -61 + 4x Solving -11 + 14x = -61 + 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. -11 + 14x + -4x = -61 + 4x + -4x Combine like terms: 14x + -4x = 10x -11 + 10x = -61 + 4x + -4x Combine like terms: 4x + -4x = 0 -11 + 10x = -61 + 0 -11 + 10x = -61 Add '11' to each side of the equation. -11 + 11 + 10x = -61 + 11 Combine like terms: -11 + 11 = 0 0 + 10x = -61 + 11 10x = -61 + 11 Combine like terms: -61 + 11 = -50 10x = -50 Divide each side by '10'. x = -5 Simplifying x = -5
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