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Simplifying 4x + -2(3x + -2) = 4(x + 3) + 2x Reorder the terms: 4x + -2(-2 + 3x) = 4(x + 3) + 2x 4x + (-2 * -2 + 3x * -2) = 4(x + 3) + 2x 4x + (4 + -6x) = 4(x + 3) + 2x Reorder the terms: 4 + 4x + -6x = 4(x + 3) + 2x Combine like terms: 4x + -6x = -2x 4 + -2x = 4(x + 3) + 2x Reorder the terms: 4 + -2x = 4(3 + x) + 2x 4 + -2x = (3 * 4 + x * 4) + 2x 4 + -2x = (12 + 4x) + 2x Combine like terms: 4x + 2x = 6x 4 + -2x = 12 + 6x Solving 4 + -2x = 12 + 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. 4 + -2x + -6x = 12 + 6x + -6x Combine like terms: -2x + -6x = -8x 4 + -8x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -8x = 12 + 0 4 + -8x = 12 Add '-4' to each side of the equation. 4 + -4 + -8x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -8x = 12 + -4 -8x = 12 + -4 Combine like terms: 12 + -4 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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