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Simplifying 2(4x + 3) = 4(x + -2) + -2x Reorder the terms: 2(3 + 4x) = 4(x + -2) + -2x (3 * 2 + 4x * 2) = 4(x + -2) + -2x (6 + 8x) = 4(x + -2) + -2x Reorder the terms: 6 + 8x = 4(-2 + x) + -2x 6 + 8x = (-2 * 4 + x * 4) + -2x 6 + 8x = (-8 + 4x) + -2x Combine like terms: 4x + -2x = 2x 6 + 8x = -8 + 2x Solving 6 + 8x = -8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + 8x + -2x = -8 + 2x + -2x Combine like terms: 8x + -2x = 6x 6 + 6x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 6x = -8 + 0 6 + 6x = -8 Add '-6' to each side of the equation. 6 + -6 + 6x = -8 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = -8 + -6 6x = -8 + -6 Combine like terms: -8 + -6 = -14 6x = -14 Divide each side by '6'. x = -2.333333333 Simplifying x = -2.333333333
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