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Simplifying 3(x + -5) = 2(5x + -11) Reorder the terms: 3(-5 + x) = 2(5x + -11) (-5 * 3 + x * 3) = 2(5x + -11) (-15 + 3x) = 2(5x + -11) Reorder the terms: -15 + 3x = 2(-11 + 5x) -15 + 3x = (-11 * 2 + 5x * 2) -15 + 3x = (-22 + 10x) Solving -15 + 3x = -22 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -15 + 3x + -10x = -22 + 10x + -10x Combine like terms: 3x + -10x = -7x -15 + -7x = -22 + 10x + -10x Combine like terms: 10x + -10x = 0 -15 + -7x = -22 + 0 -15 + -7x = -22 Add '15' to each side of the equation. -15 + 15 + -7x = -22 + 15 Combine like terms: -15 + 15 = 0 0 + -7x = -22 + 15 -7x = -22 + 15 Combine like terms: -22 + 15 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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