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Simplifying -5(3 + x) + 2x = 6 + 5x (3 * -5 + x * -5) + 2x = 6 + 5x (-15 + -5x) + 2x = 6 + 5x Combine like terms: -5x + 2x = -3x -15 + -3x = 6 + 5x Solving -15 + -3x = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -15 + -3x + -5x = 6 + 5x + -5x Combine like terms: -3x + -5x = -8x -15 + -8x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + -8x = 6 + 0 -15 + -8x = 6 Add '15' to each side of the equation. -15 + 15 + -8x = 6 + 15 Combine like terms: -15 + 15 = 0 0 + -8x = 6 + 15 -8x = 6 + 15 Combine like terms: 6 + 15 = 21 -8x = 21 Divide each side by '-8'. x = -2.625 Simplifying x = -2.625
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