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Simplifying 4x + -4 = 5(x + 7) Reorder the terms: -4 + 4x = 5(x + 7) Reorder the terms: -4 + 4x = 5(7 + x) -4 + 4x = (7 * 5 + x * 5) -4 + 4x = (35 + 5x) Solving -4 + 4x = 35 + 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 = 35 + 5x + -5x Combine like terms: 4x + -5x = -1x -4 + -1x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -1x = 35 + 0 -4 + -1x = 35 Add '4' to each side of the equation. -4 + 4 + -1x = 35 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 35 + 4 -1x = 35 + 4 Combine like terms: 35 + 4 = 39 -1x = 39 Divide each side by '-1'. x = -39 Simplifying x = -39
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