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Simplifying 5x + -28 = 12x + -35 Reorder the terms: -28 + 5x = 12x + -35 Reorder the terms: -28 + 5x = -35 + 12x Solving -28 + 5x = -35 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -28 + 5x + -12x = -35 + 12x + -12x Combine like terms: 5x + -12x = -7x -28 + -7x = -35 + 12x + -12x Combine like terms: 12x + -12x = 0 -28 + -7x = -35 + 0 -28 + -7x = -35 Add '28' to each side of the equation. -28 + 28 + -7x = -35 + 28 Combine like terms: -28 + 28 = 0 0 + -7x = -35 + 28 -7x = -35 + 28 Combine like terms: -35 + 28 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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