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Simplifying 84 = -5x + -7(-4x + 11) Reorder the terms: 84 = -5x + -7(11 + -4x) 84 = -5x + (11 * -7 + -4x * -7) 84 = -5x + (-77 + 28x) Reorder the terms: 84 = -77 + -5x + 28x Combine like terms: -5x + 28x = 23x 84 = -77 + 23x Solving 84 = -77 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. 84 + -23x = -77 + 23x + -23x Combine like terms: 23x + -23x = 0 84 + -23x = -77 + 0 84 + -23x = -77 Add '-84' to each side of the equation. 84 + -84 + -23x = -77 + -84 Combine like terms: 84 + -84 = 0 0 + -23x = -77 + -84 -23x = -77 + -84 Combine like terms: -77 + -84 = -161 -23x = -161 Divide each side by '-23'. x = 7 Simplifying x = 7
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