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Simplifying -8(x + 2) + -8(6 + -3x) = 15(x + -4) + -8 Reorder the terms: -8(2 + x) + -8(6 + -3x) = 15(x + -4) + -8 (2 * -8 + x * -8) + -8(6 + -3x) = 15(x + -4) + -8 (-16 + -8x) + -8(6 + -3x) = 15(x + -4) + -8 -16 + -8x + (6 * -8 + -3x * -8) = 15(x + -4) + -8 -16 + -8x + (-48 + 24x) = 15(x + -4) + -8 Reorder the terms: -16 + -48 + -8x + 24x = 15(x + -4) + -8 Combine like terms: -16 + -48 = -64 -64 + -8x + 24x = 15(x + -4) + -8 Combine like terms: -8x + 24x = 16x -64 + 16x = 15(x + -4) + -8 Reorder the terms: -64 + 16x = 15(-4 + x) + -8 -64 + 16x = (-4 * 15 + x * 15) + -8 -64 + 16x = (-60 + 15x) + -8 Reorder the terms: -64 + 16x = -60 + -8 + 15x Combine like terms: -60 + -8 = -68 -64 + 16x = -68 + 15x Solving -64 + 16x = -68 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -64 + 16x + -15x = -68 + 15x + -15x Combine like terms: 16x + -15x = 1x -64 + 1x = -68 + 15x + -15x Combine like terms: 15x + -15x = 0 -64 + 1x = -68 + 0 -64 + 1x = -68 Add '64' to each side of the equation. -64 + 64 + 1x = -68 + 64 Combine like terms: -64 + 64 = 0 0 + 1x = -68 + 64 1x = -68 + 64 Combine like terms: -68 + 64 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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