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Simplifying 44 + -1(4 + -2x) = 10(2 + 3x) 44 + (4 * -1 + -2x * -1) = 10(2 + 3x) 44 + (-4 + 2x) = 10(2 + 3x) Combine like terms: 44 + -4 = 40 40 + 2x = 10(2 + 3x) 40 + 2x = (2 * 10 + 3x * 10) 40 + 2x = (20 + 30x) Solving 40 + 2x = 20 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 40 + 2x + -30x = 20 + 30x + -30x Combine like terms: 2x + -30x = -28x 40 + -28x = 20 + 30x + -30x Combine like terms: 30x + -30x = 0 40 + -28x = 20 + 0 40 + -28x = 20 Add '-40' to each side of the equation. 40 + -40 + -28x = 20 + -40 Combine like terms: 40 + -40 = 0 0 + -28x = 20 + -40 -28x = 20 + -40 Combine like terms: 20 + -40 = -20 -28x = -20 Divide each side by '-28'. x = 0.7142857143 Simplifying x = 0.7142857143
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