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Simplifying 7(6x + -8) + -6x = 8x + -28 Reorder the terms: 7(-8 + 6x) + -6x = 8x + -28 (-8 * 7 + 6x * 7) + -6x = 8x + -28 (-56 + 42x) + -6x = 8x + -28 Combine like terms: 42x + -6x = 36x -56 + 36x = 8x + -28 Reorder the terms: -56 + 36x = -28 + 8x Solving -56 + 36x = -28 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -56 + 36x + -8x = -28 + 8x + -8x Combine like terms: 36x + -8x = 28x -56 + 28x = -28 + 8x + -8x Combine like terms: 8x + -8x = 0 -56 + 28x = -28 + 0 -56 + 28x = -28 Add '56' to each side of the equation. -56 + 56 + 28x = -28 + 56 Combine like terms: -56 + 56 = 0 0 + 28x = -28 + 56 28x = -28 + 56 Combine like terms: -28 + 56 = 28 28x = 28 Divide each side by '28'. x = 1 Simplifying x = 1
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