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Simplifying 3(5x + -7) = 35 + -8x Reorder the terms: 3(-7 + 5x) = 35 + -8x (-7 * 3 + 5x * 3) = 35 + -8x (-21 + 15x) = 35 + -8x Solving -21 + 15x = 35 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -21 + 15x + 8x = 35 + -8x + 8x Combine like terms: 15x + 8x = 23x -21 + 23x = 35 + -8x + 8x Combine like terms: -8x + 8x = 0 -21 + 23x = 35 + 0 -21 + 23x = 35 Add '21' to each side of the equation. -21 + 21 + 23x = 35 + 21 Combine like terms: -21 + 21 = 0 0 + 23x = 35 + 21 23x = 35 + 21 Combine like terms: 35 + 21 = 56 23x = 56 Divide each side by '23'. x = 2.434782609 Simplifying x = 2.434782609
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