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Simplifying 38 + 6x = -4(7 + -7x) 38 + 6x = (7 * -4 + -7x * -4) 38 + 6x = (-28 + 28x) Solving 38 + 6x = -28 + 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. 38 + 6x + -28x = -28 + 28x + -28x Combine like terms: 6x + -28x = -22x 38 + -22x = -28 + 28x + -28x Combine like terms: 28x + -28x = 0 38 + -22x = -28 + 0 38 + -22x = -28 Add '-38' to each side of the equation. 38 + -38 + -22x = -28 + -38 Combine like terms: 38 + -38 = 0 0 + -22x = -28 + -38 -22x = -28 + -38 Combine like terms: -28 + -38 = -66 -22x = -66 Divide each side by '-22'. x = 3 Simplifying x = 3
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