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Simplifying (4x + -7) = [5(x + 4)] Reorder the terms: (-7 + 4x) = [5(x + 4)] Remove parenthesis around (-7 + 4x) -7 + 4x = [5(x + 4)] Reorder the terms: -7 + 4x = [5(4 + x)] -7 + 4x = [(4 * 5 + x * 5)] -7 + 4x = [(20 + 5x)] -7 + 4x = [20 + 5x] Remove brackets around [20 + 5x] -7 + 4x = 20 + 5x Solving -7 + 4x = 20 + 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. -7 + 4x + -5x = 20 + 5x + -5x Combine like terms: 4x + -5x = -1x -7 + -1x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + -1x = 20 + 0 -7 + -1x = 20 Add '7' to each side of the equation. -7 + 7 + -1x = 20 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 20 + 7 -1x = 20 + 7 Combine like terms: 20 + 7 = 27 -1x = 27 Divide each side by '-1'. x = -27 Simplifying x = -27
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