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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 = -20 -5 + x = -20 + -14x Solving -5 + x = -20 + -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 = -20 + -14x + 14x Combine like terms: x + 14x = 15x -5 + 15x = -20 + -14x + 14x Combine like terms: -14x + 14x = 0 -5 + 15x = -20 + 0 -5 + 15x = -20 Add '5' to each side of the equation. -5 + 5 + 15x = -20 + 5 Combine like terms: -5 + 5 = 0 0 + 15x = -20 + 5 15x = -20 + 5 Combine like terms: -20 + 5 = -15 15x = -15 Divide each side by '15'. x = -1 Simplifying x = -1
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