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Simplifying 3[x + -2(x + -5)] + -1 = -3(2x + -5) Reorder the terms: 3[x + -2(-5 + x)] + -1 = -3(2x + -5) 3[x + (-5 * -2 + x * -2)] + -1 = -3(2x + -5) 3[x + (10 + -2x)] + -1 = -3(2x + -5) Reorder the terms: 3[10 + x + -2x] + -1 = -3(2x + -5) Combine like terms: x + -2x = -1x 3[10 + -1x] + -1 = -3(2x + -5) [10 * 3 + -1x * 3] + -1 = -3(2x + -5) [30 + -3x] + -1 = -3(2x + -5) Reorder the terms: 30 + -1 + -3x = -3(2x + -5) Combine like terms: 30 + -1 = 29 29 + -3x = -3(2x + -5) Reorder the terms: 29 + -3x = -3(-5 + 2x) 29 + -3x = (-5 * -3 + 2x * -3) 29 + -3x = (15 + -6x) Solving 29 + -3x = 15 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 29 + -3x + 6x = 15 + -6x + 6x Combine like terms: -3x + 6x = 3x 29 + 3x = 15 + -6x + 6x Combine like terms: -6x + 6x = 0 29 + 3x = 15 + 0 29 + 3x = 15 Add '-29' to each side of the equation. 29 + -29 + 3x = 15 + -29 Combine like terms: 29 + -29 = 0 0 + 3x = 15 + -29 3x = 15 + -29 Combine like terms: 15 + -29 = -14 3x = -14 Divide each side by '3'. x = -4.666666667 Simplifying x = -4.666666667
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