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Simplifying 5 + -3(x + 11) = 2(x + 11) + -5 Reorder the terms: 5 + -3(11 + x) = 2(x + 11) + -5 5 + (11 * -3 + x * -3) = 2(x + 11) + -5 5 + (-33 + -3x) = 2(x + 11) + -5 Combine like terms: 5 + -33 = -28 -28 + -3x = 2(x + 11) + -5 Reorder the terms: -28 + -3x = 2(11 + x) + -5 -28 + -3x = (11 * 2 + x * 2) + -5 -28 + -3x = (22 + 2x) + -5 Reorder the terms: -28 + -3x = 22 + -5 + 2x Combine like terms: 22 + -5 = 17 -28 + -3x = 17 + 2x Solving -28 + -3x = 17 + 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. -28 + -3x + -2x = 17 + 2x + -2x Combine like terms: -3x + -2x = -5x -28 + -5x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 -28 + -5x = 17 + 0 -28 + -5x = 17 Add '28' to each side of the equation. -28 + 28 + -5x = 17 + 28 Combine like terms: -28 + 28 = 0 0 + -5x = 17 + 28 -5x = 17 + 28 Combine like terms: 17 + 28 = 45 -5x = 45 Divide each side by '-5'. x = -9 Simplifying x = -9
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