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Simplifying 2x + -1[14x + -2(x + -3) + -1(2x + 3)] = 16x + 9 Reorder the terms: 2x + -1[14x + -2(-3 + x) + -1(2x + 3)] = 16x + 9 2x + -1[14x + (-3 * -2 + x * -2) + -1(2x + 3)] = 16x + 9 2x + -1[14x + (6 + -2x) + -1(2x + 3)] = 16x + 9 Reorder the terms: 2x + -1[14x + 6 + -2x + -1(3 + 2x)] = 16x + 9 2x + -1[14x + 6 + -2x + (3 * -1 + 2x * -1)] = 16x + 9 2x + -1[14x + 6 + -2x + (-3 + -2x)] = 16x + 9 Reorder the terms: 2x + -1[6 + -3 + 14x + -2x + -2x] = 16x + 9 Combine like terms: 6 + -3 = 3 2x + -1[3 + 14x + -2x + -2x] = 16x + 9 Combine like terms: 14x + -2x = 12x 2x + -1[3 + 12x + -2x] = 16x + 9 Combine like terms: 12x + -2x = 10x 2x + -1[3 + 10x] = 16x + 9 2x + [3 * -1 + 10x * -1] = 16x + 9 2x + [-3 + -10x] = 16x + 9 Reorder the terms: -3 + 2x + -10x = 16x + 9 Combine like terms: 2x + -10x = -8x -3 + -8x = 16x + 9 Reorder the terms: -3 + -8x = 9 + 16x Solving -3 + -8x = 9 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -3 + -8x + -16x = 9 + 16x + -16x Combine like terms: -8x + -16x = -24x -3 + -24x = 9 + 16x + -16x Combine like terms: 16x + -16x = 0 -3 + -24x = 9 + 0 -3 + -24x = 9 Add '3' to each side of the equation. -3 + 3 + -24x = 9 + 3 Combine like terms: -3 + 3 = 0 0 + -24x = 9 + 3 -24x = 9 + 3 Combine like terms: 9 + 3 = 12 -24x = 12 Divide each side by '-24'. x = -0.5 Simplifying x = -0.5
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