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Simplifying x + 8(x + -7) = -2(3x + 1) + 6x Reorder the terms: x + 8(-7 + x) = -2(3x + 1) + 6x x + (-7 * 8 + x * 8) = -2(3x + 1) + 6x x + (-56 + 8x) = -2(3x + 1) + 6x Reorder the terms: -56 + x + 8x = -2(3x + 1) + 6x Combine like terms: x + 8x = 9x -56 + 9x = -2(3x + 1) + 6x Reorder the terms: -56 + 9x = -2(1 + 3x) + 6x -56 + 9x = (1 * -2 + 3x * -2) + 6x -56 + 9x = (-2 + -6x) + 6x Combine like terms: -6x + 6x = 0 -56 + 9x = -2 + 0 -56 + 9x = -2 Solving -56 + 9x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + 9x = -2 + 56 Combine like terms: -56 + 56 = 0 0 + 9x = -2 + 56 9x = -2 + 56 Combine like terms: -2 + 56 = 54 9x = 54 Divide each side by '9'. x = 6 Simplifying x = 6
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