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Simplifying 4[x + -2] + 11 + -4 = 2x + 3 Reorder the terms: 4[-2 + x] + 11 + -4 = 2x + 3 [-2 * 4 + x * 4] + 11 + -4 = 2x + 3 [-8 + 4x] + 11 + -4 = 2x + 3 Reorder the terms: -8 + 11 + -4 + 4x = 2x + 3 Combine like terms: -8 + 11 = 3 3 + -4 + 4x = 2x + 3 Combine like terms: 3 + -4 = -1 -1 + 4x = 2x + 3 Reorder the terms: -1 + 4x = 3 + 2x Solving -1 + 4x = 3 + 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. -1 + 4x + -2x = 3 + 2x + -2x Combine like terms: 4x + -2x = 2x -1 + 2x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 2x = 3 + 0 -1 + 2x = 3 Add '1' to each side of the equation. -1 + 1 + 2x = 3 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 3 + 1 2x = 3 + 1 Combine like terms: 3 + 1 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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