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Simplifying 2(3x + -2) + -2(4x + 3) = 4 Reorder the terms: 2(-2 + 3x) + -2(4x + 3) = 4 (-2 * 2 + 3x * 2) + -2(4x + 3) = 4 (-4 + 6x) + -2(4x + 3) = 4 Reorder the terms: -4 + 6x + -2(3 + 4x) = 4 -4 + 6x + (3 * -2 + 4x * -2) = 4 -4 + 6x + (-6 + -8x) = 4 Reorder the terms: -4 + -6 + 6x + -8x = 4 Combine like terms: -4 + -6 = -10 -10 + 6x + -8x = 4 Combine like terms: 6x + -8x = -2x -10 + -2x = 4 Solving -10 + -2x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -2x = 4 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = 4 + 10 -2x = 4 + 10 Combine like terms: 4 + 10 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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