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Simplifying 146 = 7x + 3(5x + -10) Reorder the terms: 146 = 7x + 3(-10 + 5x) 146 = 7x + (-10 * 3 + 5x * 3) 146 = 7x + (-30 + 15x) Reorder the terms: 146 = -30 + 7x + 15x Combine like terms: 7x + 15x = 22x 146 = -30 + 22x Solving 146 = -30 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 146 + -22x = -30 + 22x + -22x Combine like terms: 22x + -22x = 0 146 + -22x = -30 + 0 146 + -22x = -30 Add '-146' to each side of the equation. 146 + -146 + -22x = -30 + -146 Combine like terms: 146 + -146 = 0 0 + -22x = -30 + -146 -22x = -30 + -146 Combine like terms: -30 + -146 = -176 -22x = -176 Divide each side by '-22'. x = 8 Simplifying x = 8
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