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