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Simplifying 2(x + -5) + 7 = 6x + 5 Reorder the terms: 2(-5 + x) + 7 = 6x + 5 (-5 * 2 + x * 2) + 7 = 6x + 5 (-10 + 2x) + 7 = 6x + 5 Reorder the terms: -10 + 7 + 2x = 6x + 5 Combine like terms: -10 + 7 = -3 -3 + 2x = 6x + 5 Reorder the terms: -3 + 2x = 5 + 6x Solving -3 + 2x = 5 + 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. -3 + 2x + -6x = 5 + 6x + -6x Combine like terms: 2x + -6x = -4x -3 + -4x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -4x = 5 + 0 -3 + -4x = 5 Add '3' to each side of the equation. -3 + 3 + -4x = 5 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 5 + 3 -4x = 5 + 3 Combine like terms: 5 + 3 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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