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Simplifying 4(x + 7) = -5x + 19 Reorder the terms: 4(7 + x) = -5x + 19 (7 * 4 + x * 4) = -5x + 19 (28 + 4x) = -5x + 19 Reorder the terms: 28 + 4x = 19 + -5x Solving 28 + 4x = 19 + -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. 28 + 4x + 5x = 19 + -5x + 5x Combine like terms: 4x + 5x = 9x 28 + 9x = 19 + -5x + 5x Combine like terms: -5x + 5x = 0 28 + 9x = 19 + 0 28 + 9x = 19 Add '-28' to each side of the equation. 28 + -28 + 9x = 19 + -28 Combine like terms: 28 + -28 = 0 0 + 9x = 19 + -28 9x = 19 + -28 Combine like terms: 19 + -28 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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