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Simplifying 7x + 19x + -5 = 7(4x + 7) Reorder the terms: -5 + 7x + 19x = 7(4x + 7) Combine like terms: 7x + 19x = 26x -5 + 26x = 7(4x + 7) Reorder the terms: -5 + 26x = 7(7 + 4x) -5 + 26x = (7 * 7 + 4x * 7) -5 + 26x = (49 + 28x) Solving -5 + 26x = 49 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -5 + 26x + -28x = 49 + 28x + -28x Combine like terms: 26x + -28x = -2x -5 + -2x = 49 + 28x + -28x Combine like terms: 28x + -28x = 0 -5 + -2x = 49 + 0 -5 + -2x = 49 Add '5' to each side of the equation. -5 + 5 + -2x = 49 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 49 + 5 -2x = 49 + 5 Combine like terms: 49 + 5 = 54 -2x = 54 Divide each side by '-2'. x = -27 Simplifying x = -27
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