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Simplifying 3(2x + -7) + 4 = 5x + -12 Reorder the terms: 3(-7 + 2x) + 4 = 5x + -12 (-7 * 3 + 2x * 3) + 4 = 5x + -12 (-21 + 6x) + 4 = 5x + -12 Reorder the terms: -21 + 4 + 6x = 5x + -12 Combine like terms: -21 + 4 = -17 -17 + 6x = 5x + -12 Reorder the terms: -17 + 6x = -12 + 5x Solving -17 + 6x = -12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -17 + 6x + -5x = -12 + 5x + -5x Combine like terms: 6x + -5x = 1x -17 + 1x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 -17 + 1x = -12 + 0 -17 + 1x = -12 Add '17' to each side of the equation. -17 + 17 + 1x = -12 + 17 Combine like terms: -17 + 17 = 0 0 + 1x = -12 + 17 1x = -12 + 17 Combine like terms: -12 + 17 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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