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Simplifying 6x + -7x + -84 = x + 6 + -1(x + -5) Reorder the terms: -84 + 6x + -7x = x + 6 + -1(x + -5) Combine like terms: 6x + -7x = -1x -84 + -1x = x + 6 + -1(x + -5) Reorder the terms: -84 + -1x = x + 6 + -1(-5 + x) -84 + -1x = x + 6 + (-5 * -1 + x * -1) -84 + -1x = x + 6 + (5 + -1x) Reorder the terms: -84 + -1x = 6 + 5 + x + -1x Combine like terms: 6 + 5 = 11 -84 + -1x = 11 + x + -1x Combine like terms: x + -1x = 0 -84 + -1x = 11 + 0 -84 + -1x = 11 Solving -84 + -1x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + -1x = 11 + 84 Combine like terms: -84 + 84 = 0 0 + -1x = 11 + 84 -1x = 11 + 84 Combine like terms: 11 + 84 = 95 -1x = 95 Divide each side by '-1'. x = -95 Simplifying x = -95
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