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Simplifying 2x + -6(x + 5) = (x + 2) + -7 Reorder the terms: 2x + -6(5 + x) = (x + 2) + -7 2x + (5 * -6 + x * -6) = (x + 2) + -7 2x + (-30 + -6x) = (x + 2) + -7 Reorder the terms: -30 + 2x + -6x = (x + 2) + -7 Combine like terms: 2x + -6x = -4x -30 + -4x = (x + 2) + -7 Reorder the terms: -30 + -4x = (2 + x) + -7 Remove parenthesis around (2 + x) -30 + -4x = 2 + x + -7 Reorder the terms: -30 + -4x = 2 + -7 + x Combine like terms: 2 + -7 = -5 -30 + -4x = -5 + x Solving -30 + -4x = -5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -30 + -4x + -1x = -5 + x + -1x Combine like terms: -4x + -1x = -5x -30 + -5x = -5 + x + -1x Combine like terms: x + -1x = 0 -30 + -5x = -5 + 0 -30 + -5x = -5 Add '30' to each side of the equation. -30 + 30 + -5x = -5 + 30 Combine like terms: -30 + 30 = 0 0 + -5x = -5 + 30 -5x = -5 + 30 Combine like terms: -5 + 30 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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