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Simplifying x(2) + -4x + 45 = 10x + 5 Reorder the terms for easier multiplication: 2x + -4x + 45 = 10x + 5 Reorder the terms: 45 + 2x + -4x = 10x + 5 Combine like terms: 2x + -4x = -2x 45 + -2x = 10x + 5 Reorder the terms: 45 + -2x = 5 + 10x Solving 45 + -2x = 5 + 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. 45 + -2x + -10x = 5 + 10x + -10x Combine like terms: -2x + -10x = -12x 45 + -12x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 45 + -12x = 5 + 0 45 + -12x = 5 Add '-45' to each side of the equation. 45 + -45 + -12x = 5 + -45 Combine like terms: 45 + -45 = 0 0 + -12x = 5 + -45 -12x = 5 + -45 Combine like terms: 5 + -45 = -40 -12x = -40 Divide each side by '-12'. x = 3.333333333 Simplifying x = 3.333333333
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