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Simplifying 7x + -12 = 3(2x + 5) + -3 Reorder the terms: -12 + 7x = 3(2x + 5) + -3 Reorder the terms: -12 + 7x = 3(5 + 2x) + -3 -12 + 7x = (5 * 3 + 2x * 3) + -3 -12 + 7x = (15 + 6x) + -3 Reorder the terms: -12 + 7x = 15 + -3 + 6x Combine like terms: 15 + -3 = 12 -12 + 7x = 12 + 6x Solving -12 + 7x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + 7x + -6x = 12 + 6x + -6x Combine like terms: 7x + -6x = 1x -12 + 1x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 1x = 12 + 0 -12 + 1x = 12 Add '12' to each side of the equation. -12 + 12 + 1x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 12 + 12 1x = 12 + 12 Combine like terms: 12 + 12 = 24 1x = 24 Divide each side by '1'. x = 24 Simplifying x = 24
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