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Simplifying 6 + 4(1 + -3x) + 5x = 45 6 + (1 * 4 + -3x * 4) + 5x = 45 6 + (4 + -12x) + 5x = 45 Combine like terms: 6 + 4 = 10 10 + -12x + 5x = 45 Combine like terms: -12x + 5x = -7x 10 + -7x = 45 Solving 10 + -7x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -7x = 45 + -10 Combine like terms: 10 + -10 = 0 0 + -7x = 45 + -10 -7x = 45 + -10 Combine like terms: 45 + -10 = 35 -7x = 35 Divide each side by '-7'. x = -5 Simplifying x = -5
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