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Simplifying 3x + 5 + 4x + -12 = 15x + -27 Reorder the terms: 5 + -12 + 3x + 4x = 15x + -27 Combine like terms: 5 + -12 = -7 -7 + 3x + 4x = 15x + -27 Combine like terms: 3x + 4x = 7x -7 + 7x = 15x + -27 Reorder the terms: -7 + 7x = -27 + 15x Solving -7 + 7x = -27 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -7 + 7x + -15x = -27 + 15x + -15x Combine like terms: 7x + -15x = -8x -7 + -8x = -27 + 15x + -15x Combine like terms: 15x + -15x = 0 -7 + -8x = -27 + 0 -7 + -8x = -27 Add '7' to each side of the equation. -7 + 7 + -8x = -27 + 7 Combine like terms: -7 + 7 = 0 0 + -8x = -27 + 7 -8x = -27 + 7 Combine like terms: -27 + 7 = -20 -8x = -20 Divide each side by '-8'. x = 2.5 Simplifying x = 2.5
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