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Simplifying 28x + -6(3x + -5) = 40 + -5x Reorder the terms: 28x + -6(-5 + 3x) = 40 + -5x 28x + (-5 * -6 + 3x * -6) = 40 + -5x 28x + (30 + -18x) = 40 + -5x Reorder the terms: 30 + 28x + -18x = 40 + -5x Combine like terms: 28x + -18x = 10x 30 + 10x = 40 + -5x Solving 30 + 10x = 40 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 30 + 10x + 5x = 40 + -5x + 5x Combine like terms: 10x + 5x = 15x 30 + 15x = 40 + -5x + 5x Combine like terms: -5x + 5x = 0 30 + 15x = 40 + 0 30 + 15x = 40 Add '-30' to each side of the equation. 30 + -30 + 15x = 40 + -30 Combine like terms: 30 + -30 = 0 0 + 15x = 40 + -30 15x = 40 + -30 Combine like terms: 40 + -30 = 10 15x = 10 Divide each side by '15'. x = 0.6666666667 Simplifying x = 0.6666666667
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