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Simplifying 2[5(x + 3) + -1(x + 1)] = 3(1 + x) Reorder the terms: 2[5(3 + x) + -1(x + 1)] = 3(1 + x) 2[(3 * 5 + x * 5) + -1(x + 1)] = 3(1 + x) 2[(15 + 5x) + -1(x + 1)] = 3(1 + x) Reorder the terms: 2[15 + 5x + -1(1 + x)] = 3(1 + x) 2[15 + 5x + (1 * -1 + x * -1)] = 3(1 + x) 2[15 + 5x + (-1 + -1x)] = 3(1 + x) Reorder the terms: 2[15 + -1 + 5x + -1x] = 3(1 + x) Combine like terms: 15 + -1 = 14 2[14 + 5x + -1x] = 3(1 + x) Combine like terms: 5x + -1x = 4x 2[14 + 4x] = 3(1 + x) [14 * 2 + 4x * 2] = 3(1 + x) [28 + 8x] = 3(1 + x) 28 + 8x = (1 * 3 + x * 3) 28 + 8x = (3 + 3x) Solving 28 + 8x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 28 + 8x + -3x = 3 + 3x + -3x Combine like terms: 8x + -3x = 5x 28 + 5x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 28 + 5x = 3 + 0 28 + 5x = 3 Add '-28' to each side of the equation. 28 + -28 + 5x = 3 + -28 Combine like terms: 28 + -28 = 0 0 + 5x = 3 + -28 5x = 3 + -28 Combine like terms: 3 + -28 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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