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Simplifying -4x + 6 = 2(4x + -3) Reorder the terms: 6 + -4x = 2(4x + -3) Reorder the terms: 6 + -4x = 2(-3 + 4x) 6 + -4x = (-3 * 2 + 4x * 2) 6 + -4x = (-6 + 8x) Solving 6 + -4x = -6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 6 + -4x + -8x = -6 + 8x + -8x Combine like terms: -4x + -8x = -12x 6 + -12x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -12x = -6 + 0 6 + -12x = -6 Add '-6' to each side of the equation. 6 + -6 + -12x = -6 + -6 Combine like terms: 6 + -6 = 0 0 + -12x = -6 + -6 -12x = -6 + -6 Combine like terms: -6 + -6 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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