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