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Simplifying 5 + -1(2x + -1(3(2 + -1x) + 6x) + -10) + 2x = 0 5 + -1(2x + -1((2 * 3 + -1x * 3) + 6x) + -10) + 2x = 0 5 + -1(2x + -1((6 + -3x) + 6x) + -10) + 2x = 0 Combine like terms: -3x + 6x = 3x 5 + -1(2x + -1(6 + 3x) + -10) + 2x = 0 5 + -1(2x + (6 * -1 + 3x * -1) + -10) + 2x = 0 5 + -1(2x + (-6 + -3x) + -10) + 2x = 0 Reorder the terms: 5 + -1(-6 + -10 + 2x + -3x) + 2x = 0 Combine like terms: -6 + -10 = -16 5 + -1(-16 + 2x + -3x) + 2x = 0 Combine like terms: 2x + -3x = -1x 5 + -1(-16 + -1x) + 2x = 0 5 + (-16 * -1 + -1x * -1) + 2x = 0 5 + (16 + 1x) + 2x = 0 Combine like terms: 5 + 16 = 21 21 + 1x + 2x = 0 Combine like terms: 1x + 2x = 3x 21 + 3x = 0 Solving 21 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 3x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 3x = 0 + -21 3x = 0 + -21 Combine like terms: 0 + -21 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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