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Simplifying 2[x + 2] + 3x = 2[x + 1] + 1 Reorder the terms: 2[2 + x] + 3x = 2[x + 1] + 1 [2 * 2 + x * 2] + 3x = 2[x + 1] + 1 [4 + 2x] + 3x = 2[x + 1] + 1 Combine like terms: 2x + 3x = 5x 4 + 5x = 2[x + 1] + 1 Reorder the terms: 4 + 5x = 2[1 + x] + 1 4 + 5x = [1 * 2 + x * 2] + 1 4 + 5x = [2 + 2x] + 1 Reorder the terms: 4 + 5x = 2 + 1 + 2x Combine like terms: 2 + 1 = 3 4 + 5x = 3 + 2x Solving 4 + 5x = 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. 4 + 5x + -2x = 3 + 2x + -2x Combine like terms: 5x + -2x = 3x 4 + 3x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 3x = 3 + 0 4 + 3x = 3 Add '-4' to each side of the equation. 4 + -4 + 3x = 3 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 3 + -4 3x = 3 + -4 Combine like terms: 3 + -4 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333
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