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Simplifying 4(7 + 7x) + -1x = -38 + 5x (7 * 4 + 7x * 4) + -1x = -38 + 5x (28 + 28x) + -1x = -38 + 5x Combine like terms: 28x + -1x = 27x 28 + 27x = -38 + 5x Solving 28 + 27x = -38 + 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 + 27x + -5x = -38 + 5x + -5x Combine like terms: 27x + -5x = 22x 28 + 22x = -38 + 5x + -5x Combine like terms: 5x + -5x = 0 28 + 22x = -38 + 0 28 + 22x = -38 Add '-28' to each side of the equation. 28 + -28 + 22x = -38 + -28 Combine like terms: 28 + -28 = 0 0 + 22x = -38 + -28 22x = -38 + -28 Combine like terms: -38 + -28 = -66 22x = -66 Divide each side by '22'. x = -3 Simplifying x = -3
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