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Simplifying x + -15 = 7 + -5(x + -4) Reorder the terms: -15 + x = 7 + -5(x + -4) Reorder the terms: -15 + x = 7 + -5(-4 + x) -15 + x = 7 + (-4 * -5 + x * -5) -15 + x = 7 + (20 + -5x) Combine like terms: 7 + 20 = 27 -15 + x = 27 + -5x Solving -15 + x = 27 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -15 + x + 5x = 27 + -5x + 5x Combine like terms: x + 5x = 6x -15 + 6x = 27 + -5x + 5x Combine like terms: -5x + 5x = 0 -15 + 6x = 27 + 0 -15 + 6x = 27 Add '15' to each side of the equation. -15 + 15 + 6x = 27 + 15 Combine like terms: -15 + 15 = 0 0 + 6x = 27 + 15 6x = 27 + 15 Combine like terms: 27 + 15 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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