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Simplifying 5(3x + -2) + -2(4x + -3) = 7 Reorder the terms: 5(-2 + 3x) + -2(4x + -3) = 7 (-2 * 5 + 3x * 5) + -2(4x + -3) = 7 (-10 + 15x) + -2(4x + -3) = 7 Reorder the terms: -10 + 15x + -2(-3 + 4x) = 7 -10 + 15x + (-3 * -2 + 4x * -2) = 7 -10 + 15x + (6 + -8x) = 7 Reorder the terms: -10 + 6 + 15x + -8x = 7 Combine like terms: -10 + 6 = -4 -4 + 15x + -8x = 7 Combine like terms: 15x + -8x = 7x -4 + 7x = 7 Solving -4 + 7x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 7x = 7 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 7 + 4 7x = 7 + 4 Combine like terms: 7 + 4 = 11 7x = 11 Divide each side by '7'. x = 1.571428571 Simplifying x = 1.571428571
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