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Simplifying 3x + -4 = 3(x + 5) + -4x + 1 Reorder the terms: -4 + 3x = 3(x + 5) + -4x + 1 Reorder the terms: -4 + 3x = 3(5 + x) + -4x + 1 -4 + 3x = (5 * 3 + x * 3) + -4x + 1 -4 + 3x = (15 + 3x) + -4x + 1 Reorder the terms: -4 + 3x = 15 + 1 + 3x + -4x Combine like terms: 15 + 1 = 16 -4 + 3x = 16 + 3x + -4x Combine like terms: 3x + -4x = -1x -4 + 3x = 16 + -1x Solving -4 + 3x = 16 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -4 + 3x + x = 16 + -1x + x Combine like terms: 3x + x = 4x -4 + 4x = 16 + -1x + x Combine like terms: -1x + x = 0 -4 + 4x = 16 + 0 -4 + 4x = 16 Add '4' to each side of the equation. -4 + 4 + 4x = 16 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = 16 + 4 4x = 16 + 4 Combine like terms: 16 + 4 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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