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Simplifying 8(x + -7) + 6x = 54 + 4x Reorder the terms: 8(-7 + x) + 6x = 54 + 4x (-7 * 8 + x * 8) + 6x = 54 + 4x (-56 + 8x) + 6x = 54 + 4x Combine like terms: 8x + 6x = 14x -56 + 14x = 54 + 4x Solving -56 + 14x = 54 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -56 + 14x + -4x = 54 + 4x + -4x Combine like terms: 14x + -4x = 10x -56 + 10x = 54 + 4x + -4x Combine like terms: 4x + -4x = 0 -56 + 10x = 54 + 0 -56 + 10x = 54 Add '56' to each side of the equation. -56 + 56 + 10x = 54 + 56 Combine like terms: -56 + 56 = 0 0 + 10x = 54 + 56 10x = 54 + 56 Combine like terms: 54 + 56 = 110 10x = 110 Divide each side by '10'. x = 11 Simplifying x = 11
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