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Simplifying 2[(15 + 3)(x + -1)] = 4(x + 7) Combine like terms: 15 + 3 = 18 2[(18)(x + -1)] = 4(x + 7) Reorder the terms: 2[18(-1 + x)] = 4(x + 7) 2[(-1 * 18 + x * 18)] = 4(x + 7) 2[(-18 + 18x)] = 4(x + 7) [-18 * 2 + 18x * 2] = 4(x + 7) [-36 + 36x] = 4(x + 7) Reorder the terms: -36 + 36x = 4(7 + x) -36 + 36x = (7 * 4 + x * 4) -36 + 36x = (28 + 4x) Solving -36 + 36x = 28 + 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. -36 + 36x + -4x = 28 + 4x + -4x Combine like terms: 36x + -4x = 32x -36 + 32x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 -36 + 32x = 28 + 0 -36 + 32x = 28 Add '36' to each side of the equation. -36 + 36 + 32x = 28 + 36 Combine like terms: -36 + 36 = 0 0 + 32x = 28 + 36 32x = 28 + 36 Combine like terms: 28 + 36 = 64 32x = 64 Divide each side by '32'. x = 2 Simplifying x = 2
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