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Simplifying 2[x + -1(5x + 2)] = 2 + (2x + 1) Reorder the terms: 2[x + -1(2 + 5x)] = 2 + (2x + 1) 2[x + (2 * -1 + 5x * -1)] = 2 + (2x + 1) 2[x + (-2 + -5x)] = 2 + (2x + 1) Reorder the terms: 2[-2 + x + -5x] = 2 + (2x + 1) Combine like terms: x + -5x = -4x 2[-2 + -4x] = 2 + (2x + 1) [-2 * 2 + -4x * 2] = 2 + (2x + 1) [-4 + -8x] = 2 + (2x + 1) Reorder the terms: -4 + -8x = 2 + (1 + 2x) Remove parenthesis around (1 + 2x) -4 + -8x = 2 + 1 + 2x Combine like terms: 2 + 1 = 3 -4 + -8x = 3 + 2x Solving -4 + -8x = 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 + -8x + -2x = 3 + 2x + -2x Combine like terms: -8x + -2x = -10x -4 + -10x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + -10x = 3 + 0 -4 + -10x = 3 Add '4' to each side of the equation. -4 + 4 + -10x = 3 + 4 Combine like terms: -4 + 4 = 0 0 + -10x = 3 + 4 -10x = 3 + 4 Combine like terms: 3 + 4 = 7 -10x = 7 Divide each side by '-10'. x = -0.7 Simplifying x = -0.7
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