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Simplifying -2 + -8(x + 6) = 8(4x + -2) + -7 Reorder the terms: -2 + -8(6 + x) = 8(4x + -2) + -7 -2 + (6 * -8 + x * -8) = 8(4x + -2) + -7 -2 + (-48 + -8x) = 8(4x + -2) + -7 Combine like terms: -2 + -48 = -50 -50 + -8x = 8(4x + -2) + -7 Reorder the terms: -50 + -8x = 8(-2 + 4x) + -7 -50 + -8x = (-2 * 8 + 4x * 8) + -7 -50 + -8x = (-16 + 32x) + -7 Reorder the terms: -50 + -8x = -16 + -7 + 32x Combine like terms: -16 + -7 = -23 -50 + -8x = -23 + 32x Solving -50 + -8x = -23 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -50 + -8x + -32x = -23 + 32x + -32x Combine like terms: -8x + -32x = -40x -50 + -40x = -23 + 32x + -32x Combine like terms: 32x + -32x = 0 -50 + -40x = -23 + 0 -50 + -40x = -23 Add '50' to each side of the equation. -50 + 50 + -40x = -23 + 50 Combine like terms: -50 + 50 = 0 0 + -40x = -23 + 50 -40x = -23 + 50 Combine like terms: -23 + 50 = 27 -40x = 27 Divide each side by '-40'. x = -0.675 Simplifying x = -0.675
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