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Simplifying 3x + -12 = 5x + -15(7 + -2x) + -35 Reorder the terms: -12 + 3x = 5x + -15(7 + -2x) + -35 -12 + 3x = 5x + (7 * -15 + -2x * -15) + -35 -12 + 3x = 5x + (-105 + 30x) + -35 Reorder the terms: -12 + 3x = -105 + -35 + 5x + 30x Combine like terms: -105 + -35 = -140 -12 + 3x = -140 + 5x + 30x Combine like terms: 5x + 30x = 35x -12 + 3x = -140 + 35x Solving -12 + 3x = -140 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -12 + 3x + -35x = -140 + 35x + -35x Combine like terms: 3x + -35x = -32x -12 + -32x = -140 + 35x + -35x Combine like terms: 35x + -35x = 0 -12 + -32x = -140 + 0 -12 + -32x = -140 Add '12' to each side of the equation. -12 + 12 + -32x = -140 + 12 Combine like terms: -12 + 12 = 0 0 + -32x = -140 + 12 -32x = -140 + 12 Combine like terms: -140 + 12 = -128 -32x = -128 Divide each side by '-32'. x = 4 Simplifying x = 4
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