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Simplifying 5x + 3(x + -11) = 20x + 15 Reorder the terms: 5x + 3(-11 + x) = 20x + 15 5x + (-11 * 3 + x * 3) = 20x + 15 5x + (-33 + 3x) = 20x + 15 Reorder the terms: -33 + 5x + 3x = 20x + 15 Combine like terms: 5x + 3x = 8x -33 + 8x = 20x + 15 Reorder the terms: -33 + 8x = 15 + 20x Solving -33 + 8x = 15 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -33 + 8x + -20x = 15 + 20x + -20x Combine like terms: 8x + -20x = -12x -33 + -12x = 15 + 20x + -20x Combine like terms: 20x + -20x = 0 -33 + -12x = 15 + 0 -33 + -12x = 15 Add '33' to each side of the equation. -33 + 33 + -12x = 15 + 33 Combine like terms: -33 + 33 = 0 0 + -12x = 15 + 33 -12x = 15 + 33 Combine like terms: 15 + 33 = 48 -12x = 48 Divide each side by '-12'. x = -4 Simplifying x = -4
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