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Simplifying 5(x + -3) = -3(x + -11) Reorder the terms: 5(-3 + x) = -3(x + -11) (-3 * 5 + x * 5) = -3(x + -11) (-15 + 5x) = -3(x + -11) Reorder the terms: -15 + 5x = -3(-11 + x) -15 + 5x = (-11 * -3 + x * -3) -15 + 5x = (33 + -3x) Solving -15 + 5x = 33 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -15 + 5x + 3x = 33 + -3x + 3x Combine like terms: 5x + 3x = 8x -15 + 8x = 33 + -3x + 3x Combine like terms: -3x + 3x = 0 -15 + 8x = 33 + 0 -15 + 8x = 33 Add '15' to each side of the equation. -15 + 15 + 8x = 33 + 15 Combine like terms: -15 + 15 = 0 0 + 8x = 33 + 15 8x = 33 + 15 Combine like terms: 33 + 15 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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