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Simplifying 3x + -8 = 5(11x + 27) Reorder the terms: -8 + 3x = 5(11x + 27) Reorder the terms: -8 + 3x = 5(27 + 11x) -8 + 3x = (27 * 5 + 11x * 5) -8 + 3x = (135 + 55x) Solving -8 + 3x = 135 + 55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55x' to each side of the equation. -8 + 3x + -55x = 135 + 55x + -55x Combine like terms: 3x + -55x = -52x -8 + -52x = 135 + 55x + -55x Combine like terms: 55x + -55x = 0 -8 + -52x = 135 + 0 -8 + -52x = 135 Add '8' to each side of the equation. -8 + 8 + -52x = 135 + 8 Combine like terms: -8 + 8 = 0 0 + -52x = 135 + 8 -52x = 135 + 8 Combine like terms: 135 + 8 = 143 -52x = 143 Divide each side by '-52'. x = -2.75 Simplifying x = -2.75
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