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Simplifying 14x + 5[6 + -1(2x + 3)] = x Reorder the terms: 14x + 5[6 + -1(3 + 2x)] = x 14x + 5[6 + (3 * -1 + 2x * -1)] = x 14x + 5[6 + (-3 + -2x)] = x Combine like terms: 6 + -3 = 3 14x + 5[3 + -2x] = x 14x + [3 * 5 + -2x * 5] = x 14x + [15 + -10x] = x Reorder the terms: 15 + 14x + -10x = x Combine like terms: 14x + -10x = 4x 15 + 4x = x Solving 15 + 4x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 15 + 4x + -1x = x + -1x Combine like terms: 4x + -1x = 3x 15 + 3x = x + -1x Combine like terms: x + -1x = 0 15 + 3x = 0 Add '-15' to each side of the equation. 15 + -15 + 3x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 3x = 0 + -15 3x = 0 + -15 Combine like terms: 0 + -15 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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