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