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Simplifying 3(2x + -5) = 2(x + -10) + -15 Reorder the terms: 3(-5 + 2x) = 2(x + -10) + -15 (-5 * 3 + 2x * 3) = 2(x + -10) + -15 (-15 + 6x) = 2(x + -10) + -15 Reorder the terms: -15 + 6x = 2(-10 + x) + -15 -15 + 6x = (-10 * 2 + x * 2) + -15 -15 + 6x = (-20 + 2x) + -15 Reorder the terms: -15 + 6x = -20 + -15 + 2x Combine like terms: -20 + -15 = -35 -15 + 6x = -35 + 2x Solving -15 + 6x = -35 + 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 + 6x + -2x = -35 + 2x + -2x Combine like terms: 6x + -2x = 4x -15 + 4x = -35 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 4x = -35 + 0 -15 + 4x = -35 Add '15' to each side of the equation. -15 + 15 + 4x = -35 + 15 Combine like terms: -15 + 15 = 0 0 + 4x = -35 + 15 4x = -35 + 15 Combine like terms: -35 + 15 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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