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Simplifying 8(x + -6) + -1(4 + -9x) = 16x Reorder the terms: 8(-6 + x) + -1(4 + -9x) = 16x (-6 * 8 + x * 8) + -1(4 + -9x) = 16x (-48 + 8x) + -1(4 + -9x) = 16x -48 + 8x + (4 * -1 + -9x * -1) = 16x -48 + 8x + (-4 + 9x) = 16x Reorder the terms: -48 + -4 + 8x + 9x = 16x Combine like terms: -48 + -4 = -52 -52 + 8x + 9x = 16x Combine like terms: 8x + 9x = 17x -52 + 17x = 16x Solving -52 + 17x = 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -52 + 17x + -16x = 16x + -16x Combine like terms: 17x + -16x = 1x -52 + 1x = 16x + -16x Combine like terms: 16x + -16x = 0 -52 + 1x = 0 Add '52' to each side of the equation. -52 + 52 + 1x = 0 + 52 Combine like terms: -52 + 52 = 0 0 + 1x = 0 + 52 1x = 0 + 52 Combine like terms: 0 + 52 = 52 1x = 52 Divide each side by '1'. x = 52 Simplifying x = 52
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