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Simplifying 3x + 5(x + -11) = 5x + -7 Reorder the terms: 3x + 5(-11 + x) = 5x + -7 3x + (-11 * 5 + x * 5) = 5x + -7 3x + (-55 + 5x) = 5x + -7 Reorder the terms: -55 + 3x + 5x = 5x + -7 Combine like terms: 3x + 5x = 8x -55 + 8x = 5x + -7 Reorder the terms: -55 + 8x = -7 + 5x Solving -55 + 8x = -7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -55 + 8x + -5x = -7 + 5x + -5x Combine like terms: 8x + -5x = 3x -55 + 3x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 -55 + 3x = -7 + 0 -55 + 3x = -7 Add '55' to each side of the equation. -55 + 55 + 3x = -7 + 55 Combine like terms: -55 + 55 = 0 0 + 3x = -7 + 55 3x = -7 + 55 Combine like terms: -7 + 55 = 48 3x = 48 Divide each side by '3'. x = 16 Simplifying x = 16
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