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Simplifying -3x + -7(x + -2) = 5x + -1 Reorder the terms: -3x + -7(-2 + x) = 5x + -1 -3x + (-2 * -7 + x * -7) = 5x + -1 -3x + (14 + -7x) = 5x + -1 Reorder the terms: 14 + -3x + -7x = 5x + -1 Combine like terms: -3x + -7x = -10x 14 + -10x = 5x + -1 Reorder the terms: 14 + -10x = -1 + 5x Solving 14 + -10x = -1 + 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. 14 + -10x + -5x = -1 + 5x + -5x Combine like terms: -10x + -5x = -15x 14 + -15x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + -15x = -1 + 0 14 + -15x = -1 Add '-14' to each side of the equation. 14 + -14 + -15x = -1 + -14 Combine like terms: 14 + -14 = 0 0 + -15x = -1 + -14 -15x = -1 + -14 Combine like terms: -1 + -14 = -15 -15x = -15 Divide each side by '-15'. x = 1 Simplifying x = 1
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