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Simplifying 4x + 15 = 45 + 12x Reorder the terms: 15 + 4x = 45 + 12x Solving 15 + 4x = 45 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 15 + 4x + -12x = 45 + 12x + -12x Combine like terms: 4x + -12x = -8x 15 + -8x = 45 + 12x + -12x Combine like terms: 12x + -12x = 0 15 + -8x = 45 + 0 15 + -8x = 45 Add '-15' to each side of the equation. 15 + -15 + -8x = 45 + -15 Combine like terms: 15 + -15 = 0 0 + -8x = 45 + -15 -8x = 45 + -15 Combine like terms: 45 + -15 = 30 -8x = 30 Divide each side by '-8'. x = -3.75 Simplifying x = -3.75
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