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Simplifying 6x + -5[4 + -1(7 + -2x)] = 0 6x + -5[4 + (7 * -1 + -2x * -1)] = 0 6x + -5[4 + (-7 + 2x)] = 0 Combine like terms: 4 + -7 = -3 6x + -5[-3 + 2x] = 0 6x + [-3 * -5 + 2x * -5] = 0 6x + [15 + -10x] = 0 Reorder the terms: 15 + 6x + -10x = 0 Combine like terms: 6x + -10x = -4x 15 + -4x = 0 Solving 15 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -4x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -4x = 0 + -15 -4x = 0 + -15 Combine like terms: 0 + -15 = -15 -4x = -15 Divide each side by '-4'. x = 3.75 Simplifying x = 3.75
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