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Simplifying 4x + 3x + 3 + -2x + 12 = 10x + -45 Reorder the terms: 3 + 12 + 4x + 3x + -2x = 10x + -45 Combine like terms: 3 + 12 = 15 15 + 4x + 3x + -2x = 10x + -45 Combine like terms: 4x + 3x = 7x 15 + 7x + -2x = 10x + -45 Combine like terms: 7x + -2x = 5x 15 + 5x = 10x + -45 Reorder the terms: 15 + 5x = -45 + 10x Solving 15 + 5x = -45 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 15 + 5x + -10x = -45 + 10x + -10x Combine like terms: 5x + -10x = -5x 15 + -5x = -45 + 10x + -10x Combine like terms: 10x + -10x = 0 15 + -5x = -45 + 0 15 + -5x = -45 Add '-15' to each side of the equation. 15 + -15 + -5x = -45 + -15 Combine like terms: 15 + -15 = 0 0 + -5x = -45 + -15 -5x = -45 + -15 Combine like terms: -45 + -15 = -60 -5x = -60 Divide each side by '-5'. x = 12 Simplifying x = 12
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