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Simplifying 6x + (14x + -5) + (17 + -3x) * 4 = 0 Reorder the terms: 6x + (-5 + 14x) + (17 + -3x) * 4 = 0 Remove parenthesis around (-5 + 14x) 6x + -5 + 14x + (17 + -3x) * 4 = 0 Reorder the terms for easier multiplication: 6x + -5 + 14x + 4(17 + -3x) = 0 6x + -5 + 14x + (17 * 4 + -3x * 4) = 0 6x + -5 + 14x + (68 + -12x) = 0 Reorder the terms: -5 + 68 + 6x + 14x + -12x = 0 Combine like terms: -5 + 68 = 63 63 + 6x + 14x + -12x = 0 Combine like terms: 6x + 14x = 20x 63 + 20x + -12x = 0 Combine like terms: 20x + -12x = 8x 63 + 8x = 0 Solving 63 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + 8x = 0 + -63 Combine like terms: 63 + -63 = 0 0 + 8x = 0 + -63 8x = 0 + -63 Combine like terms: 0 + -63 = -63 8x = -63 Divide each side by '8'. x = -7.875 Simplifying x = -7.875
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