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Simplifying 2[(3x + 1) + -2(x + 4)] + -1(3x + 5) = 0 Reorder the terms: 2[(1 + 3x) + -2(x + 4)] + -1(3x + 5) = 0 Remove parenthesis around (1 + 3x) 2[1 + 3x + -2(x + 4)] + -1(3x + 5) = 0 Reorder the terms: 2[1 + 3x + -2(4 + x)] + -1(3x + 5) = 0 2[1 + 3x + (4 * -2 + x * -2)] + -1(3x + 5) = 0 2[1 + 3x + (-8 + -2x)] + -1(3x + 5) = 0 Reorder the terms: 2[1 + -8 + 3x + -2x] + -1(3x + 5) = 0 Combine like terms: 1 + -8 = -7 2[-7 + 3x + -2x] + -1(3x + 5) = 0 Combine like terms: 3x + -2x = 1x 2[-7 + 1x] + -1(3x + 5) = 0 [-7 * 2 + 1x * 2] + -1(3x + 5) = 0 [-14 + 2x] + -1(3x + 5) = 0 Reorder the terms: -14 + 2x + -1(5 + 3x) = 0 -14 + 2x + (5 * -1 + 3x * -1) = 0 -14 + 2x + (-5 + -3x) = 0 Reorder the terms: -14 + -5 + 2x + -3x = 0 Combine like terms: -14 + -5 = -19 -19 + 2x + -3x = 0 Combine like terms: 2x + -3x = -1x -19 + -1x = 0 Solving -19 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -1x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -1x = 0 + 19 -1x = 0 + 19 Combine like terms: 0 + 19 = 19 -1x = 19 Divide each side by '-1'. x = -19 Simplifying x = -19
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