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Simplifying 2 + 4 = 2(4x + -3) + -3(-8 + 4x) Combine like terms: 2 + 4 = 6 6 = 2(4x + -3) + -3(-8 + 4x) Reorder the terms: 6 = 2(-3 + 4x) + -3(-8 + 4x) 6 = (-3 * 2 + 4x * 2) + -3(-8 + 4x) 6 = (-6 + 8x) + -3(-8 + 4x) 6 = -6 + 8x + (-8 * -3 + 4x * -3) 6 = -6 + 8x + (24 + -12x) Reorder the terms: 6 = -6 + 24 + 8x + -12x Combine like terms: -6 + 24 = 18 6 = 18 + 8x + -12x Combine like terms: 8x + -12x = -4x 6 = 18 + -4x Solving 6 = 18 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 6 + 4x = 18 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 4x = 18 + 0 6 + 4x = 18 Add '-6' to each side of the equation. 6 + -6 + 4x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 18 + -6 4x = 18 + -6 Combine like terms: 18 + -6 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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