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Simplifying 3x(-4) + (52 + -4 * 2) + -1(-9.82) = 0 Reorder the terms for easier multiplication: 3 * -4x + (52 + -4 * 2) + -1(-9.82) = 0 Multiply 3 * -4 -12x + (52 + -4 * 2) + -1(-9.82) = 0 Multiply -4 * 2 -12x + (52 + -8) + -1(-9.82) = 0 Combine like terms: 52 + -8 = 44 -12x + (44) + -1(-9.82) = 0 -12x + 44 + -1(-9.82) = 0 Multiply -1 * -9.82 -12x + 44 + 9.82 = 0 Reorder the terms: 44 + 9.82 + -12x = 0 Combine like terms: 44 + 9.82 = 53.82 53.82 + -12x = 0 Solving 53.82 + -12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-53.82' to each side of the equation. 53.82 + -53.82 + -12x = 0 + -53.82 Combine like terms: 53.82 + -53.82 = 0.00 0.00 + -12x = 0 + -53.82 -12x = 0 + -53.82 Combine like terms: 0 + -53.82 = -53.82 -12x = -53.82 Divide each side by '-12'. x = 4.485 Simplifying x = 4.485
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