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Simplifying 6 + -7x + 11x = -2(-4x + 3) Combine like terms: -7x + 11x = 4x 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 = -4x 6 + -4x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -4x = -6 + 0 6 + -4x = -6 Add '-6' to each side of the equation. 6 + -6 + -4x = -6 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = -6 + -6 -4x = -6 + -6 Combine like terms: -6 + -6 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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