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Simplifying 6(5x + -2) = 4(4x + 3) Reorder the terms: 6(-2 + 5x) = 4(4x + 3) (-2 * 6 + 5x * 6) = 4(4x + 3) (-12 + 30x) = 4(4x + 3) Reorder the terms: -12 + 30x = 4(3 + 4x) -12 + 30x = (3 * 4 + 4x * 4) -12 + 30x = (12 + 16x) Solving -12 + 30x = 12 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -12 + 30x + -16x = 12 + 16x + -16x Combine like terms: 30x + -16x = 14x -12 + 14x = 12 + 16x + -16x Combine like terms: 16x + -16x = 0 -12 + 14x = 12 + 0 -12 + 14x = 12 Add '12' to each side of the equation. -12 + 12 + 14x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 14x = 12 + 12 14x = 12 + 12 Combine like terms: 12 + 12 = 24 14x = 24 Divide each side by '14'. x = 1.714285714 Simplifying x = 1.714285714
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