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Simplifying x + -1[(3x + 5) + -1(2x + -6)] = 4 + -1[7x + -1(6 + 3x)] Reorder the terms: x + -1[(5 + 3x) + -1(2x + -6)] = 4 + -1[7x + -1(6 + 3x)] Remove parenthesis around (5 + 3x) x + -1[5 + 3x + -1(2x + -6)] = 4 + -1[7x + -1(6 + 3x)] Reorder the terms: x + -1[5 + 3x + -1(-6 + 2x)] = 4 + -1[7x + -1(6 + 3x)] x + -1[5 + 3x + (-6 * -1 + 2x * -1)] = 4 + -1[7x + -1(6 + 3x)] x + -1[5 + 3x + (6 + -2x)] = 4 + -1[7x + -1(6 + 3x)] Reorder the terms: x + -1[5 + 6 + 3x + -2x] = 4 + -1[7x + -1(6 + 3x)] Combine like terms: 5 + 6 = 11 x + -1[11 + 3x + -2x] = 4 + -1[7x + -1(6 + 3x)] Combine like terms: 3x + -2x = 1x x + -1[11 + 1x] = 4 + -1[7x + -1(6 + 3x)] x + [11 * -1 + 1x * -1] = 4 + -1[7x + -1(6 + 3x)] x + [-11 + -1x] = 4 + -1[7x + -1(6 + 3x)] Reorder the terms: -11 + x + -1x = 4 + -1[7x + -1(6 + 3x)] Combine like terms: x + -1x = 0 -11 + 0 = 4 + -1[7x + -1(6 + 3x)] -11 = 4 + -1[7x + -1(6 + 3x)] -11 = 4 + -1[7x + (6 * -1 + 3x * -1)] -11 = 4 + -1[7x + (-6 + -3x)] Reorder the terms: -11 = 4 + -1[-6 + 7x + -3x] Combine like terms: 7x + -3x = 4x -11 = 4 + -1[-6 + 4x] -11 = 4 + [-6 * -1 + 4x * -1] -11 = 4 + [6 + -4x] Combine like terms: 4 + 6 = 10 -11 = 10 + -4x Solving -11 = 10 + -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. -11 + 4x = 10 + -4x + 4x Combine like terms: -4x + 4x = 0 -11 + 4x = 10 + 0 -11 + 4x = 10 Add '11' to each side of the equation. -11 + 11 + 4x = 10 + 11 Combine like terms: -11 + 11 = 0 0 + 4x = 10 + 11 4x = 10 + 11 Combine like terms: 10 + 11 = 21 4x = 21 Divide each side by '4'. x = 5.25 Simplifying x = 5.25
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