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Simplifying 6(x + -8) + -10 = 26x + -218 Reorder the terms: 6(-8 + x) + -10 = 26x + -218 (-8 * 6 + x * 6) + -10 = 26x + -218 (-48 + 6x) + -10 = 26x + -218 Reorder the terms: -48 + -10 + 6x = 26x + -218 Combine like terms: -48 + -10 = -58 -58 + 6x = 26x + -218 Reorder the terms: -58 + 6x = -218 + 26x Solving -58 + 6x = -218 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. -58 + 6x + -26x = -218 + 26x + -26x Combine like terms: 6x + -26x = -20x -58 + -20x = -218 + 26x + -26x Combine like terms: 26x + -26x = 0 -58 + -20x = -218 + 0 -58 + -20x = -218 Add '58' to each side of the equation. -58 + 58 + -20x = -218 + 58 Combine like terms: -58 + 58 = 0 0 + -20x = -218 + 58 -20x = -218 + 58 Combine like terms: -218 + 58 = -160 -20x = -160 Divide each side by '-20'. x = 8 Simplifying x = 8
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