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Simplifying 5x + 3(x + -5) = 2x + -15 Reorder the terms: 5x + 3(-5 + x) = 2x + -15 5x + (-5 * 3 + x * 3) = 2x + -15 5x + (-15 + 3x) = 2x + -15 Reorder the terms: -15 + 5x + 3x = 2x + -15 Combine like terms: 5x + 3x = 8x -15 + 8x = 2x + -15 Reorder the terms: -15 + 8x = -15 + 2x Add '15' to each side of the equation. -15 + 15 + 8x = -15 + 15 + 2x Combine like terms: -15 + 15 = 0 0 + 8x = -15 + 15 + 2x 8x = -15 + 15 + 2x Combine like terms: -15 + 15 = 0 8x = 0 + 2x 8x = 2x Solving 8x = 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. 8x + -2x = 2x + -2x Combine like terms: 8x + -2x = 6x 6x = 2x + -2x Combine like terms: 2x + -2x = 0 6x = 0 Divide each side by '6'. x = 0 Simplifying x = 0
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