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