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Simplifying 40x + -1[24 + -1(6x + 8) + -1(5 + -2x)] = 3 + -1(8x + -12) Reorder the terms: 40x + -1[24 + -1(8 + 6x) + -1(5 + -2x)] = 3 + -1(8x + -12) 40x + -1[24 + (8 * -1 + 6x * -1) + -1(5 + -2x)] = 3 + -1(8x + -12) 40x + -1[24 + (-8 + -6x) + -1(5 + -2x)] = 3 + -1(8x + -12) 40x + -1[24 + -8 + -6x + (5 * -1 + -2x * -1)] = 3 + -1(8x + -12) 40x + -1[24 + -8 + -6x + (-5 + 2x)] = 3 + -1(8x + -12) Reorder the terms: 40x + -1[24 + -8 + -5 + -6x + 2x] = 3 + -1(8x + -12) Combine like terms: 24 + -8 = 16 40x + -1[16 + -5 + -6x + 2x] = 3 + -1(8x + -12) Combine like terms: 16 + -5 = 11 40x + -1[11 + -6x + 2x] = 3 + -1(8x + -12) Combine like terms: -6x + 2x = -4x 40x + -1[11 + -4x] = 3 + -1(8x + -12) 40x + [11 * -1 + -4x * -1] = 3 + -1(8x + -12) 40x + [-11 + 4x] = 3 + -1(8x + -12) Reorder the terms: -11 + 40x + 4x = 3 + -1(8x + -12) Combine like terms: 40x + 4x = 44x -11 + 44x = 3 + -1(8x + -12) Reorder the terms: -11 + 44x = 3 + -1(-12 + 8x) -11 + 44x = 3 + (-12 * -1 + 8x * -1) -11 + 44x = 3 + (12 + -8x) Combine like terms: 3 + 12 = 15 -11 + 44x = 15 + -8x Solving -11 + 44x = 15 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -11 + 44x + 8x = 15 + -8x + 8x Combine like terms: 44x + 8x = 52x -11 + 52x = 15 + -8x + 8x Combine like terms: -8x + 8x = 0 -11 + 52x = 15 + 0 -11 + 52x = 15 Add '11' to each side of the equation. -11 + 11 + 52x = 15 + 11 Combine like terms: -11 + 11 = 0 0 + 52x = 15 + 11 52x = 15 + 11 Combine like terms: 15 + 11 = 26 52x = 26 Divide each side by '52'. x = 0.5 Simplifying x = 0.5
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