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Simplifying -1[2x + (6x + 3)] = 2 + -1(4x + 7) Reorder the terms: -1[2x + (3 + 6x)] = 2 + -1(4x + 7) Remove parenthesis around (3 + 6x) -1[2x + 3 + 6x] = 2 + -1(4x + 7) Reorder the terms: -1[3 + 2x + 6x] = 2 + -1(4x + 7) Combine like terms: 2x + 6x = 8x -1[3 + 8x] = 2 + -1(4x + 7) [3 * -1 + 8x * -1] = 2 + -1(4x + 7) [-3 + -8x] = 2 + -1(4x + 7) Reorder the terms: -3 + -8x = 2 + -1(7 + 4x) -3 + -8x = 2 + (7 * -1 + 4x * -1) -3 + -8x = 2 + (-7 + -4x) Combine like terms: 2 + -7 = -5 -3 + -8x = -5 + -4x Solving -3 + -8x = -5 + -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. -3 + -8x + 4x = -5 + -4x + 4x Combine like terms: -8x + 4x = -4x -3 + -4x = -5 + -4x + 4x Combine like terms: -4x + 4x = 0 -3 + -4x = -5 + 0 -3 + -4x = -5 Add '3' to each side of the equation. -3 + 3 + -4x = -5 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = -5 + 3 -4x = -5 + 3 Combine like terms: -5 + 3 = -2 -4x = -2 Divide each side by '-4'. x = 0.5 Simplifying x = 0.5
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