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Simplifying 6(x + -5) + -4x + 3(3 + 5x) = -140 Reorder the terms: 6(-5 + x) + -4x + 3(3 + 5x) = -140 (-5 * 6 + x * 6) + -4x + 3(3 + 5x) = -140 (-30 + 6x) + -4x + 3(3 + 5x) = -140 -30 + 6x + -4x + (3 * 3 + 5x * 3) = -140 -30 + 6x + -4x + (9 + 15x) = -140 Reorder the terms: -30 + 9 + 6x + -4x + 15x = -140 Combine like terms: -30 + 9 = -21 -21 + 6x + -4x + 15x = -140 Combine like terms: 6x + -4x = 2x -21 + 2x + 15x = -140 Combine like terms: 2x + 15x = 17x -21 + 17x = -140 Solving -21 + 17x = -140 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 17x = -140 + 21 Combine like terms: -21 + 21 = 0 0 + 17x = -140 + 21 17x = -140 + 21 Combine like terms: -140 + 21 = -119 17x = -119 Divide each side by '17'. x = -7 Simplifying x = -7
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