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Simplifying [6x + -1(2x + 2)] = -5 + -1[4(2x + -3) + -2x] Reorder the terms: [6x + -1(2 + 2x)] = -5 + -1[4(2x + -3) + -2x] [6x + (2 * -1 + 2x * -1)] = -5 + -1[4(2x + -3) + -2x] [6x + (-2 + -2x)] = -5 + -1[4(2x + -3) + -2x] Reorder the terms: [-2 + 6x + -2x] = -5 + -1[4(2x + -3) + -2x] Combine like terms: 6x + -2x = 4x [-2 + 4x] = -5 + -1[4(2x + -3) + -2x] Remove brackets around [-2 + 4x] -2 + 4x = -5 + -1[4(2x + -3) + -2x] Reorder the terms: -2 + 4x = -5 + -1[4(-3 + 2x) + -2x] -2 + 4x = -5 + -1[(-3 * 4 + 2x * 4) + -2x] -2 + 4x = -5 + -1[(-12 + 8x) + -2x] Combine like terms: 8x + -2x = 6x -2 + 4x = -5 + -1[-12 + 6x] -2 + 4x = -5 + [-12 * -1 + 6x * -1] -2 + 4x = -5 + [12 + -6x] Combine like terms: -5 + 12 = 7 -2 + 4x = 7 + -6x Solving -2 + 4x = 7 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -2 + 4x + 6x = 7 + -6x + 6x Combine like terms: 4x + 6x = 10x -2 + 10x = 7 + -6x + 6x Combine like terms: -6x + 6x = 0 -2 + 10x = 7 + 0 -2 + 10x = 7 Add '2' to each side of the equation. -2 + 2 + 10x = 7 + 2 Combine like terms: -2 + 2 = 0 0 + 10x = 7 + 2 10x = 7 + 2 Combine like terms: 7 + 2 = 9 10x = 9 Divide each side by '10'. x = 0.9 Simplifying x = 0.9
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