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Simplifying 4(x + 2) + -2(-3x + 1) = 0 Reorder the terms: 4(2 + x) + -2(-3x + 1) = 0 (2 * 4 + x * 4) + -2(-3x + 1) = 0 (8 + 4x) + -2(-3x + 1) = 0 Reorder the terms: 8 + 4x + -2(1 + -3x) = 0 8 + 4x + (1 * -2 + -3x * -2) = 0 8 + 4x + (-2 + 6x) = 0 Reorder the terms: 8 + -2 + 4x + 6x = 0 Combine like terms: 8 + -2 = 6 6 + 4x + 6x = 0 Combine like terms: 4x + 6x = 10x 6 + 10x = 0 Solving 6 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 10x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 10x = 0 + -6 10x = 0 + -6 Combine like terms: 0 + -6 = -6 10x = -6 Divide each side by '10'. x = -0.6 Simplifying x = -0.6
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