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Simplifying 6x + -7(4 + -3x) = -1x 6x + (4 * -7 + -3x * -7) = -1x 6x + (-28 + 21x) = -1x Reorder the terms: -28 + 6x + 21x = -1x Combine like terms: 6x + 21x = 27x -28 + 27x = -1x Solving -28 + 27x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -28 + 27x + x = -1x + x Combine like terms: 27x + x = 28x -28 + 28x = -1x + x Combine like terms: -1x + x = 0 -28 + 28x = 0 Add '28' to each side of the equation. -28 + 28 + 28x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 28x = 0 + 28 28x = 0 + 28 Combine like terms: 0 + 28 = 28 28x = 28 Divide each side by '28'. x = 1 Simplifying x = 1
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