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Simplifying 2(3x + -5) + -4x = 4(3 + -7x) + 3 Reorder the terms: 2(-5 + 3x) + -4x = 4(3 + -7x) + 3 (-5 * 2 + 3x * 2) + -4x = 4(3 + -7x) + 3 (-10 + 6x) + -4x = 4(3 + -7x) + 3 Combine like terms: 6x + -4x = 2x -10 + 2x = 4(3 + -7x) + 3 -10 + 2x = (3 * 4 + -7x * 4) + 3 -10 + 2x = (12 + -28x) + 3 Reorder the terms: -10 + 2x = 12 + 3 + -28x Combine like terms: 12 + 3 = 15 -10 + 2x = 15 + -28x Solving -10 + 2x = 15 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. -10 + 2x + 28x = 15 + -28x + 28x Combine like terms: 2x + 28x = 30x -10 + 30x = 15 + -28x + 28x Combine like terms: -28x + 28x = 0 -10 + 30x = 15 + 0 -10 + 30x = 15 Add '10' to each side of the equation. -10 + 10 + 30x = 15 + 10 Combine like terms: -10 + 10 = 0 0 + 30x = 15 + 10 30x = 15 + 10 Combine like terms: 15 + 10 = 25 30x = 25 Divide each side by '30'. x = 0.8333333333 Simplifying x = 0.8333333333
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