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Simplifying 5[1 + 2(x + 3)] = 6 + -3(x + -1) Reorder the terms: 5[1 + 2(3 + x)] = 6 + -3(x + -1) 5[1 + (3 * 2 + x * 2)] = 6 + -3(x + -1) 5[1 + (6 + 2x)] = 6 + -3(x + -1) Combine like terms: 1 + 6 = 7 5[7 + 2x] = 6 + -3(x + -1) [7 * 5 + 2x * 5] = 6 + -3(x + -1) [35 + 10x] = 6 + -3(x + -1) Reorder the terms: 35 + 10x = 6 + -3(-1 + x) 35 + 10x = 6 + (-1 * -3 + x * -3) 35 + 10x = 6 + (3 + -3x) Combine like terms: 6 + 3 = 9 35 + 10x = 9 + -3x Solving 35 + 10x = 9 + -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. 35 + 10x + 3x = 9 + -3x + 3x Combine like terms: 10x + 3x = 13x 35 + 13x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 35 + 13x = 9 + 0 35 + 13x = 9 Add '-35' to each side of the equation. 35 + -35 + 13x = 9 + -35 Combine like terms: 35 + -35 = 0 0 + 13x = 9 + -35 13x = 9 + -35 Combine like terms: 9 + -35 = -26 13x = -26 Divide each side by '13'. x = -2 Simplifying x = -2
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