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Simplifying -1[5x + (3x + 3)] = 5 + -1(7x + 4) Reorder the terms: -1[5x + (3 + 3x)] = 5 + -1(7x + 4) Remove parenthesis around (3 + 3x) -1[5x + 3 + 3x] = 5 + -1(7x + 4) Reorder the terms: -1[3 + 5x + 3x] = 5 + -1(7x + 4) Combine like terms: 5x + 3x = 8x -1[3 + 8x] = 5 + -1(7x + 4) [3 * -1 + 8x * -1] = 5 + -1(7x + 4) [-3 + -8x] = 5 + -1(7x + 4) Reorder the terms: -3 + -8x = 5 + -1(4 + 7x) -3 + -8x = 5 + (4 * -1 + 7x * -1) -3 + -8x = 5 + (-4 + -7x) Combine like terms: 5 + -4 = 1 -3 + -8x = 1 + -7x Solving -3 + -8x = 1 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -3 + -8x + 7x = 1 + -7x + 7x Combine like terms: -8x + 7x = -1x -3 + -1x = 1 + -7x + 7x Combine like terms: -7x + 7x = 0 -3 + -1x = 1 + 0 -3 + -1x = 1 Add '3' to each side of the equation. -3 + 3 + -1x = 1 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 1 + 3 -1x = 1 + 3 Combine like terms: 1 + 3 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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