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Simplifying 2x + -8(8x + -6) = -21 + 7x Reorder the terms: 2x + -8(-6 + 8x) = -21 + 7x 2x + (-6 * -8 + 8x * -8) = -21 + 7x 2x + (48 + -64x) = -21 + 7x Reorder the terms: 48 + 2x + -64x = -21 + 7x Combine like terms: 2x + -64x = -62x 48 + -62x = -21 + 7x Solving 48 + -62x = -21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 48 + -62x + -7x = -21 + 7x + -7x Combine like terms: -62x + -7x = -69x 48 + -69x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 48 + -69x = -21 + 0 48 + -69x = -21 Add '-48' to each side of the equation. 48 + -48 + -69x = -21 + -48 Combine like terms: 48 + -48 = 0 0 + -69x = -21 + -48 -69x = -21 + -48 Combine like terms: -21 + -48 = -69 -69x = -69 Divide each side by '-69'. x = 1 Simplifying x = 1
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