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Simplifying 3x + 27 = 5x + -1x + -15 Reorder the terms: 27 + 3x = 5x + -1x + -15 Reorder the terms: 27 + 3x = -15 + 5x + -1x Combine like terms: 5x + -1x = 4x 27 + 3x = -15 + 4x Solving 27 + 3x = -15 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 27 + 3x + -4x = -15 + 4x + -4x Combine like terms: 3x + -4x = -1x 27 + -1x = -15 + 4x + -4x Combine like terms: 4x + -4x = 0 27 + -1x = -15 + 0 27 + -1x = -15 Add '-27' to each side of the equation. 27 + -27 + -1x = -15 + -27 Combine like terms: 27 + -27 = 0 0 + -1x = -15 + -27 -1x = -15 + -27 Combine like terms: -15 + -27 = -42 -1x = -42 Divide each side by '-1'. x = 42 Simplifying x = 42
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