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Simplifying 4x + -2[3x + -1(x + 4)] = 5 + -2(x + 1) Reorder the terms: 4x + -2[3x + -1(4 + x)] = 5 + -2(x + 1) 4x + -2[3x + (4 * -1 + x * -1)] = 5 + -2(x + 1) 4x + -2[3x + (-4 + -1x)] = 5 + -2(x + 1) Reorder the terms: 4x + -2[-4 + 3x + -1x] = 5 + -2(x + 1) Combine like terms: 3x + -1x = 2x 4x + -2[-4 + 2x] = 5 + -2(x + 1) 4x + [-4 * -2 + 2x * -2] = 5 + -2(x + 1) 4x + [8 + -4x] = 5 + -2(x + 1) Reorder the terms: 8 + 4x + -4x = 5 + -2(x + 1) Combine like terms: 4x + -4x = 0 8 + 0 = 5 + -2(x + 1) 8 = 5 + -2(x + 1) Reorder the terms: 8 = 5 + -2(1 + x) 8 = 5 + (1 * -2 + x * -2) 8 = 5 + (-2 + -2x) Combine like terms: 5 + -2 = 3 8 = 3 + -2x Solving 8 = 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. 8 + 2x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + 2x = 3 + 0 8 + 2x = 3 Add '-8' to each side of the equation. 8 + -8 + 2x = 3 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 3 + -8 2x = 3 + -8 Combine like terms: 3 + -8 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5
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