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Simplifying 4x + -3 = 8x + 12 + -7x Reorder the terms: -3 + 4x = 8x + 12 + -7x Reorder the terms: -3 + 4x = 12 + 8x + -7x Combine like terms: 8x + -7x = 1x -3 + 4x = 12 + 1x Solving -3 + 4x = 12 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -3 + 4x + -1x = 12 + 1x + -1x Combine like terms: 4x + -1x = 3x -3 + 3x = 12 + 1x + -1x Combine like terms: 1x + -1x = 0 -3 + 3x = 12 + 0 -3 + 3x = 12 Add '3' to each side of the equation. -3 + 3 + 3x = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = 12 + 3 3x = 12 + 3 Combine like terms: 12 + 3 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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