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Simplifying 2x + -6(5 + x) = x + 10 2x + (5 * -6 + x * -6) = x + 10 2x + (-30 + -6x) = x + 10 Reorder the terms: -30 + 2x + -6x = x + 10 Combine like terms: 2x + -6x = -4x -30 + -4x = x + 10 Reorder the terms: -30 + -4x = 10 + x Solving -30 + -4x = 10 + 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 = 10 + x + -1x Combine like terms: -4x + -1x = -5x -30 + -5x = 10 + x + -1x Combine like terms: x + -1x = 0 -30 + -5x = 10 + 0 -30 + -5x = 10 Add '30' to each side of the equation. -30 + 30 + -5x = 10 + 30 Combine like terms: -30 + 30 = 0 0 + -5x = 10 + 30 -5x = 10 + 30 Combine like terms: 10 + 30 = 40 -5x = 40 Divide each side by '-5'. x = -8 Simplifying x = -8
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