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Simplifying 6x + 3 + -2(4x + -3) = 5(x + 2) Reorder the terms: 6x + 3 + -2(-3 + 4x) = 5(x + 2) 6x + 3 + (-3 * -2 + 4x * -2) = 5(x + 2) 6x + 3 + (6 + -8x) = 5(x + 2) Reorder the terms: 3 + 6 + 6x + -8x = 5(x + 2) Combine like terms: 3 + 6 = 9 9 + 6x + -8x = 5(x + 2) Combine like terms: 6x + -8x = -2x 9 + -2x = 5(x + 2) Reorder the terms: 9 + -2x = 5(2 + x) 9 + -2x = (2 * 5 + x * 5) 9 + -2x = (10 + 5x) Solving 9 + -2x = 10 + 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. 9 + -2x + -5x = 10 + 5x + -5x Combine like terms: -2x + -5x = -7x 9 + -7x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + -7x = 10 + 0 9 + -7x = 10 Add '-9' to each side of the equation. 9 + -9 + -7x = 10 + -9 Combine like terms: 9 + -9 = 0 0 + -7x = 10 + -9 -7x = 10 + -9 Combine like terms: 10 + -9 = 1 -7x = 1 Divide each side by '-7'. x = -0.1428571429 Simplifying x = -0.1428571429
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