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Simplifying 4x + 3 + -7 = 5x + -12 Reorder the terms: 3 + -7 + 4x = 5x + -12 Combine like terms: 3 + -7 = -4 -4 + 4x = 5x + -12 Reorder the terms: -4 + 4x = -12 + 5x Solving -4 + 4x = -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. -4 + 4x + -5x = -12 + 5x + -5x Combine like terms: 4x + -5x = -1x -4 + -1x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -1x = -12 + 0 -4 + -1x = -12 Add '4' to each side of the equation. -4 + 4 + -1x = -12 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = -12 + 4 -1x = -12 + 4 Combine like terms: -12 + 4 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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