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Simplifying -3(2x + 5) = 3 + -2(x + -5) Reorder the terms: -3(5 + 2x) = 3 + -2(x + -5) (5 * -3 + 2x * -3) = 3 + -2(x + -5) (-15 + -6x) = 3 + -2(x + -5) Reorder the terms: -15 + -6x = 3 + -2(-5 + x) -15 + -6x = 3 + (-5 * -2 + x * -2) -15 + -6x = 3 + (10 + -2x) Combine like terms: 3 + 10 = 13 -15 + -6x = 13 + -2x Solving -15 + -6x = 13 + -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 = 13 + -2x + 2x Combine like terms: -6x + 2x = -4x -15 + -4x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 -15 + -4x = 13 + 0 -15 + -4x = 13 Add '15' to each side of the equation. -15 + 15 + -4x = 13 + 15 Combine like terms: -15 + 15 = 0 0 + -4x = 13 + 15 -4x = 13 + 15 Combine like terms: 13 + 15 = 28 -4x = 28 Divide each side by '-4'. x = -7 Simplifying x = -7
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