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Simplifying -2(x + 5) + 5x = 6x + -7 Reorder the terms: -2(5 + x) + 5x = 6x + -7 (5 * -2 + x * -2) + 5x = 6x + -7 (-10 + -2x) + 5x = 6x + -7 Combine like terms: -2x + 5x = 3x -10 + 3x = 6x + -7 Reorder the terms: -10 + 3x = -7 + 6x Solving -10 + 3x = -7 + 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. -10 + 3x + -6x = -7 + 6x + -6x Combine like terms: 3x + -6x = -3x -10 + -3x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + -3x = -7 + 0 -10 + -3x = -7 Add '10' to each side of the equation. -10 + 10 + -3x = -7 + 10 Combine like terms: -10 + 10 = 0 0 + -3x = -7 + 10 -3x = -7 + 10 Combine like terms: -7 + 10 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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