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Simplifying 3(x + -5) + 6x = 2(x + 3) Reorder the terms: 3(-5 + x) + 6x = 2(x + 3) (-5 * 3 + x * 3) + 6x = 2(x + 3) (-15 + 3x) + 6x = 2(x + 3) Combine like terms: 3x + 6x = 9x -15 + 9x = 2(x + 3) Reorder the terms: -15 + 9x = 2(3 + x) -15 + 9x = (3 * 2 + x * 2) -15 + 9x = (6 + 2x) Solving -15 + 9x = 6 + 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 + 9x + -2x = 6 + 2x + -2x Combine like terms: 9x + -2x = 7x -15 + 7x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 7x = 6 + 0 -15 + 7x = 6 Add '15' to each side of the equation. -15 + 15 + 7x = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 7x = 6 + 15 7x = 6 + 15 Combine like terms: 6 + 15 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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