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Simplifying 3(2x + -1) + -2(4x + -5) = 5x + 4 Reorder the terms: 3(-1 + 2x) + -2(4x + -5) = 5x + 4 (-1 * 3 + 2x * 3) + -2(4x + -5) = 5x + 4 (-3 + 6x) + -2(4x + -5) = 5x + 4 Reorder the terms: -3 + 6x + -2(-5 + 4x) = 5x + 4 -3 + 6x + (-5 * -2 + 4x * -2) = 5x + 4 -3 + 6x + (10 + -8x) = 5x + 4 Reorder the terms: -3 + 10 + 6x + -8x = 5x + 4 Combine like terms: -3 + 10 = 7 7 + 6x + -8x = 5x + 4 Combine like terms: 6x + -8x = -2x 7 + -2x = 5x + 4 Reorder the terms: 7 + -2x = 4 + 5x Solving 7 + -2x = 4 + 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. 7 + -2x + -5x = 4 + 5x + -5x Combine like terms: -2x + -5x = -7x 7 + -7x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -7x = 4 + 0 7 + -7x = 4 Add '-7' to each side of the equation. 7 + -7 + -7x = 4 + -7 Combine like terms: 7 + -7 = 0 0 + -7x = 4 + -7 -7x = 4 + -7 Combine like terms: 4 + -7 = -3 -7x = -3 Divide each side by '-7'. x = 0.4285714286 Simplifying x = 0.4285714286
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