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Simplifying -1(-2 + 5x) + 7x = -38 + -6x (-2 * -1 + 5x * -1) + 7x = -38 + -6x (2 + -5x) + 7x = -38 + -6x Combine like terms: -5x + 7x = 2x 2 + 2x = -38 + -6x Solving 2 + 2x = -38 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 2 + 2x + 6x = -38 + -6x + 6x Combine like terms: 2x + 6x = 8x 2 + 8x = -38 + -6x + 6x Combine like terms: -6x + 6x = 0 2 + 8x = -38 + 0 2 + 8x = -38 Add '-2' to each side of the equation. 2 + -2 + 8x = -38 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = -38 + -2 8x = -38 + -2 Combine like terms: -38 + -2 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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