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Simplifying 6x + -9(9 + -7x) = 8(x + -8) + 16 6x + (9 * -9 + -7x * -9) = 8(x + -8) + 16 6x + (-81 + 63x) = 8(x + -8) + 16 Reorder the terms: -81 + 6x + 63x = 8(x + -8) + 16 Combine like terms: 6x + 63x = 69x -81 + 69x = 8(x + -8) + 16 Reorder the terms: -81 + 69x = 8(-8 + x) + 16 -81 + 69x = (-8 * 8 + x * 8) + 16 -81 + 69x = (-64 + 8x) + 16 Reorder the terms: -81 + 69x = -64 + 16 + 8x Combine like terms: -64 + 16 = -48 -81 + 69x = -48 + 8x Solving -81 + 69x = -48 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -81 + 69x + -8x = -48 + 8x + -8x Combine like terms: 69x + -8x = 61x -81 + 61x = -48 + 8x + -8x Combine like terms: 8x + -8x = 0 -81 + 61x = -48 + 0 -81 + 61x = -48 Add '81' to each side of the equation. -81 + 81 + 61x = -48 + 81 Combine like terms: -81 + 81 = 0 0 + 61x = -48 + 81 61x = -48 + 81 Combine like terms: -48 + 81 = 33 61x = 33 Divide each side by '61'. x = 0.5409836066 Simplifying x = 0.5409836066
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