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Simplifying 3(5x + 2) + 2 = 10x + 5[x + -1(3x + -1)] Reorder the terms: 3(2 + 5x) + 2 = 10x + 5[x + -1(3x + -1)] (2 * 3 + 5x * 3) + 2 = 10x + 5[x + -1(3x + -1)] (6 + 15x) + 2 = 10x + 5[x + -1(3x + -1)] Reorder the terms: 6 + 2 + 15x = 10x + 5[x + -1(3x + -1)] Combine like terms: 6 + 2 = 8 8 + 15x = 10x + 5[x + -1(3x + -1)] Reorder the terms: 8 + 15x = 10x + 5[x + -1(-1 + 3x)] 8 + 15x = 10x + 5[x + (-1 * -1 + 3x * -1)] 8 + 15x = 10x + 5[x + (1 + -3x)] Reorder the terms: 8 + 15x = 10x + 5[1 + x + -3x] Combine like terms: x + -3x = -2x 8 + 15x = 10x + 5[1 + -2x] 8 + 15x = 10x + [1 * 5 + -2x * 5] 8 + 15x = 10x + [5 + -10x] Reorder the terms: 8 + 15x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 8 + 15x = 5 + 0 8 + 15x = 5 Solving 8 + 15x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 15x = 5 + -8 Combine like terms: 8 + -8 = 0 0 + 15x = 5 + -8 15x = 5 + -8 Combine like terms: 5 + -8 = -3 15x = -3 Divide each side by '15'. x = -0.2 Simplifying x = -0.2
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