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Simplifying 8x + -1(-1x + -7) = 6x + 40 Reorder the terms: 8x + -1(-7 + -1x) = 6x + 40 8x + (-7 * -1 + -1x * -1) = 6x + 40 8x + (7 + 1x) = 6x + 40 Reorder the terms: 7 + 8x + 1x = 6x + 40 Combine like terms: 8x + 1x = 9x 7 + 9x = 6x + 40 Reorder the terms: 7 + 9x = 40 + 6x Solving 7 + 9x = 40 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7 + 9x + -6x = 40 + 6x + -6x Combine like terms: 9x + -6x = 3x 7 + 3x = 40 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + 3x = 40 + 0 7 + 3x = 40 Add '-7' to each side of the equation. 7 + -7 + 3x = 40 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 40 + -7 3x = 40 + -7 Combine like terms: 40 + -7 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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