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Simplifying 4(x + 2) = 2(3x + -2) Reorder the terms: 4(2 + x) = 2(3x + -2) (2 * 4 + x * 4) = 2(3x + -2) (8 + 4x) = 2(3x + -2) Reorder the terms: 8 + 4x = 2(-2 + 3x) 8 + 4x = (-2 * 2 + 3x * 2) 8 + 4x = (-4 + 6x) Solving 8 + 4x = -4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + 4x + -6x = -4 + 6x + -6x Combine like terms: 4x + -6x = -2x 8 + -2x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -2x = -4 + 0 8 + -2x = -4 Add '-8' to each side of the equation. 8 + -8 + -2x = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = -4 + -8 -2x = -4 + -8 Combine like terms: -4 + -8 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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