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Simplifying 6x + -7(2x + -3) + -6 = 0 Reorder the terms: 6x + -7(-3 + 2x) + -6 = 0 6x + (-3 * -7 + 2x * -7) + -6 = 0 6x + (21 + -14x) + -6 = 0 Reorder the terms: 21 + -6 + 6x + -14x = 0 Combine like terms: 21 + -6 = 15 15 + 6x + -14x = 0 Combine like terms: 6x + -14x = -8x 15 + -8x = 0 Solving 15 + -8x = 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 + -8x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -8x = 0 + -15 -8x = 0 + -15 Combine like terms: 0 + -15 = -15 -8x = -15 Divide each side by '-8'. x = 1.875 Simplifying x = 1.875
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