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Simplifying 30x + -89 = 45(34 * 5 + 3x) + -42 + 56x Reorder the terms: -89 + 30x = 45(34 * 5 + 3x) + -42 + 56x Multiply 34 * 5 -89 + 30x = 45(170 + 3x) + -42 + 56x -89 + 30x = (170 * 45 + 3x * 45) + -42 + 56x -89 + 30x = (7650 + 135x) + -42 + 56x Reorder the terms: -89 + 30x = 7650 + -42 + 135x + 56x Combine like terms: 7650 + -42 = 7608 -89 + 30x = 7608 + 135x + 56x Combine like terms: 135x + 56x = 191x -89 + 30x = 7608 + 191x Solving -89 + 30x = 7608 + 191x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-191x' to each side of the equation. -89 + 30x + -191x = 7608 + 191x + -191x Combine like terms: 30x + -191x = -161x -89 + -161x = 7608 + 191x + -191x Combine like terms: 191x + -191x = 0 -89 + -161x = 7608 + 0 -89 + -161x = 7608 Add '89' to each side of the equation. -89 + 89 + -161x = 7608 + 89 Combine like terms: -89 + 89 = 0 0 + -161x = 7608 + 89 -161x = 7608 + 89 Combine like terms: 7608 + 89 = 7697 -161x = 7697 Divide each side by '-161'. x = -47.80745342 Simplifying x = -47.80745342
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