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Simplifying x + -5 = 78 + -14(x + -7) Reorder the terms: -5 + x = 78 + -14(x + -7) Reorder the terms: -5 + x = 78 + -14(-7 + x) -5 + x = 78 + (-7 * -14 + x * -14) -5 + x = 78 + (98 + -14x) Combine like terms: 78 + 98 = 176 -5 + x = 176 + -14x Solving -5 + x = 176 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -5 + x + 14x = 176 + -14x + 14x Combine like terms: x + 14x = 15x -5 + 15x = 176 + -14x + 14x Combine like terms: -14x + 14x = 0 -5 + 15x = 176 + 0 -5 + 15x = 176 Add '5' to each side of the equation. -5 + 5 + 15x = 176 + 5 Combine like terms: -5 + 5 = 0 0 + 15x = 176 + 5 15x = 176 + 5 Combine like terms: 176 + 5 = 181 15x = 181 Divide each side by '15'. x = 12.06666667 Simplifying x = 12.06666667
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