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Simplifying 5(3x + 2) + -2(4x + -3) = 4 Reorder the terms: 5(2 + 3x) + -2(4x + -3) = 4 (2 * 5 + 3x * 5) + -2(4x + -3) = 4 (10 + 15x) + -2(4x + -3) = 4 Reorder the terms: 10 + 15x + -2(-3 + 4x) = 4 10 + 15x + (-3 * -2 + 4x * -2) = 4 10 + 15x + (6 + -8x) = 4 Reorder the terms: 10 + 6 + 15x + -8x = 4 Combine like terms: 10 + 6 = 16 16 + 15x + -8x = 4 Combine like terms: 15x + -8x = 7x 16 + 7x = 4 Solving 16 + 7x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 7x = 4 + -16 Combine like terms: 16 + -16 = 0 0 + 7x = 4 + -16 7x = 4 + -16 Combine like terms: 4 + -16 = -12 7x = -12 Divide each side by '7'. x = -1.714285714 Simplifying x = -1.714285714
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