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Simplifying 5x + 3(x + -5) = 6x + 2 + -15 Reorder the terms: 5x + 3(-5 + x) = 6x + 2 + -15 5x + (-5 * 3 + x * 3) = 6x + 2 + -15 5x + (-15 + 3x) = 6x + 2 + -15 Reorder the terms: -15 + 5x + 3x = 6x + 2 + -15 Combine like terms: 5x + 3x = 8x -15 + 8x = 6x + 2 + -15 Reorder the terms: -15 + 8x = 2 + -15 + 6x Combine like terms: 2 + -15 = -13 -15 + 8x = -13 + 6x Solving -15 + 8x = -13 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -15 + 8x + -6x = -13 + 6x + -6x Combine like terms: 8x + -6x = 2x -15 + 2x = -13 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + 2x = -13 + 0 -15 + 2x = -13 Add '15' to each side of the equation. -15 + 15 + 2x = -13 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = -13 + 15 2x = -13 + 15 Combine like terms: -13 + 15 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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