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Simplifying 6x + -5(3 + x) = 2x + -2 6x + (3 * -5 + x * -5) = 2x + -2 6x + (-15 + -5x) = 2x + -2 Reorder the terms: -15 + 6x + -5x = 2x + -2 Combine like terms: 6x + -5x = 1x -15 + 1x = 2x + -2 Reorder the terms: -15 + 1x = -2 + 2x Solving -15 + 1x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -15 + 1x + -2x = -2 + 2x + -2x Combine like terms: 1x + -2x = -1x -15 + -1x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + -1x = -2 + 0 -15 + -1x = -2 Add '15' to each side of the equation. -15 + 15 + -1x = -2 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = -2 + 15 -1x = -2 + 15 Combine like terms: -2 + 15 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13
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