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Simplifying (294.3) + -1(x * 9.81) = (30x) * 1.5 294.3 + -1(x * 9.81) = (30x) * 1.5 Reorder the terms for easier multiplication: 294.3 + -1(9.81x) = (30x) * 1.5 Remove parenthesis around (9.81x) 294.3 + -1 * 9.81x = (30x) * 1.5 Multiply -1 * 9.81 294.3 + -9.81x = (30x) * 1.5 Remove parenthesis around (30x) 294.3 + -9.81x = 30x * 1.5 Reorder the terms for easier multiplication: 294.3 + -9.81x = 30 * 1.5x Multiply 30 * 1.5 294.3 + -9.81x = 45x Solving 294.3 + -9.81x = 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 294.3 + -9.81x + -45x = 45x + -45x Combine like terms: -9.81x + -45x = -54.81x 294.3 + -54.81x = 45x + -45x Combine like terms: 45x + -45x = 0 294.3 + -54.81x = 0 Add '-294.3' to each side of the equation. 294.3 + -294.3 + -54.81x = 0 + -294.3 Combine like terms: 294.3 + -294.3 = 0.0 0.0 + -54.81x = 0 + -294.3 -54.81x = 0 + -294.3 Combine like terms: 0 + -294.3 = -294.3 -54.81x = -294.3 Divide each side by '-54.81'. x = 5.369458128 Simplifying x = 5.369458128
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